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Finding the Third Proportional to 77,656.16 and 169,851.78

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Solution

The third proportional to 77,656.16 and 169,851.78 is: 371,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656.16 : 169,851.78 = 169,851.78 : x
  2. Step 2: Convert to fraction form
    77,656.16/169,851.78 = 169,851.78/x
  3. Step 3: Cross multiply
    77,656.16x = 169,851.78 × 169,851.78
  4. Step 4: Simplify right side
    77,656.16x = 28,849,627,593.80
  5. Step 5: Solve for x
    x = 28,849,627,593.80/77,656.16
  6. Step 6: Final answer
    x = 371,504.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.