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Finding the Third Proportional to 81,172,800 and 125,634,528

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Solution

The third proportional to 81,172,800 and 125,634,528 is: 194,449,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,172,800 : 125,634,528 = 125,634,528 : x
  2. Step 2: Convert to fraction form
    81,172,800/125,634,528 = 125,634,528/x
  3. Step 3: Cross multiply
    81,172,800x = 125,634,528 × 125,634,528
  4. Step 4: Simplify right side
    81,172,800x = 15,784,034,625,782,784
  5. Step 5: Solve for x
    x = 15,784,034,625,782,784/81,172,800
  6. Step 6: Final answer
    x = 194,449,798.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.