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Finding the Third Proportional to 259,724.25 and 390,337.88

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Solution

The third proportional to 259,724.25 and 390,337.88 is: 586,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,724.25 : 390,337.88 = 390,337.88 : x
  2. Step 2: Convert to fraction form
    259,724.25/390,337.88 = 390,337.88/x
  3. Step 3: Cross multiply
    259,724.25x = 390,337.88 × 390,337.88
  4. Step 4: Simplify right side
    259,724.25x = 152,363,656,659.52
  5. Step 5: Solve for x
    x = 152,363,656,659.52/259,724.25
  6. Step 6: Final answer
    x = 586,636.24

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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.