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Finding the Third Proportional to 392,416 and 607,500

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Solution

The third proportional to 392,416 and 607,500 is: 940,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,416 : 607,500 = 607,500 : x
  2. Step 2: Convert to fraction form
    392,416/607,500 = 607,500/x
  3. Step 3: Cross multiply
    392,416x = 607,500 × 607,500
  4. Step 4: Simplify right side
    392,416x = 369,056,250,000
  5. Step 5: Solve for x
    x = 369,056,250,000/392,416
  6. Step 6: Final answer
    x = 940,471.97

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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.