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Finding the Third Proportional to 67,972.13 and 145,789.13

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Solution

The third proportional to 67,972.13 and 145,789.13 is: 312,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,972.13 : 145,789.13 = 145,789.13 : x
  2. Step 2: Convert to fraction form
    67,972.13/145,789.13 = 145,789.13/x
  3. Step 3: Cross multiply
    67,972.13x = 145,789.13 × 145,789.13
  4. Step 4: Simplify right side
    67,972.13x = 21,254,468,968.27
  5. Step 5: Solve for x
    x = 21,254,468,968.27/67,972.13
  6. Step 6: Final answer
    x = 312,693.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.