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Finding the Third Proportional to 86,231,890.50 and 129,316,171.50

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Solution

The third proportional to 86,231,890.50 and 129,316,171.50 is: 193,926,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,231,890.50 : 129,316,171.50 = 129,316,171.50 : x
  2. Step 2: Convert to fraction form
    86,231,890.50/129,316,171.50 = 129,316,171.50/x
  3. Step 3: Cross multiply
    86,231,890.50x = 129,316,171.50 × 129,316,171.50
  4. Step 4: Simplify right side
    86,231,890.50x = 16,722,672,211,417,412
  5. Step 5: Solve for x
    x = 16,722,672,211,417,412/86,231,890.50
  6. Step 6: Final answer
    x = 193,926,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.