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Finding the Third Proportional to 35,775,114.75 and 77,215,045.50

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Solution

The third proportional to 35,775,114.75 and 77,215,045.50 is: 166,656,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775,114.75 : 77,215,045.50 = 77,215,045.50 : x
  2. Step 2: Convert to fraction form
    35,775,114.75/77,215,045.50 = 77,215,045.50/x
  3. Step 3: Cross multiply
    35,775,114.75x = 77,215,045.50 × 77,215,045.50
  4. Step 4: Simplify right side
    35,775,114.75x = 5,962,163,251,567,070
  5. Step 5: Solve for x
    x = 5,962,163,251,567,070/35,775,114.75
  6. Step 6: Final answer
    x = 166,656,719.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.