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Finding the Third Proportional to 87,854,654.25 and 128,547,978.75

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Solution

The third proportional to 87,854,654.25 and 128,547,978.75 is: 188,090,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,854,654.25 : 128,547,978.75 = 128,547,978.75 : x
  2. Step 2: Convert to fraction form
    87,854,654.25/128,547,978.75 = 128,547,978.75/x
  3. Step 3: Cross multiply
    87,854,654.25x = 128,547,978.75 × 128,547,978.75
  4. Step 4: Simplify right side
    87,854,654.25x = 16,524,582,840,710,452
  5. Step 5: Solve for x
    x = 16,524,582,840,710,452/87,854,654.25
  6. Step 6: Final answer
    x = 188,090,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.