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Finding the Third Proportional to 78,763,919,034 and 169,473,840,812.25

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Solution

The third proportional to 78,763,919,034 and 169,473,840,812.25 is: 364,651,519,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763,919,034 : 169,473,840,812.25 = 169,473,840,812.25 : x
  2. Step 2: Convert to fraction form
    78,763,919,034/169,473,840,812.25 = 169,473,840,812.25/x
  3. Step 3: Cross multiply
    78,763,919,034x = 169,473,840,812.25 × 169,473,840,812.25
  4. Step 4: Simplify right side
    78,763,919,034x = 28,721,382,719,655,851,851,776
  5. Step 5: Solve for x
    x = 28,721,382,719,655,851,851,776/78,763,919,034
  6. Step 6: Final answer
    x = 364,651,519,019.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.