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Finding the Third Proportional to 85,713,120 and 129,342,528

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Solution

The third proportional to 85,713,120 and 129,342,528 is: 195,180,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713,120 : 129,342,528 = 129,342,528 : x
  2. Step 2: Convert to fraction form
    85,713,120/129,342,528 = 129,342,528/x
  3. Step 3: Cross multiply
    85,713,120x = 129,342,528 × 129,342,528
  4. Step 4: Simplify right side
    85,713,120x = 16,729,489,549,430,784
  5. Step 5: Solve for x
    x = 16,729,489,549,430,784/85,713,120
  6. Step 6: Final answer
    x = 195,180,032.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.