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Finding the Third Proportional to 392,436 and 607,518

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Solution

The third proportional to 392,436 and 607,518 is: 940,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,436 : 607,518 = 607,518 : x
  2. Step 2: Convert to fraction form
    392,436/607,518 = 607,518/x
  3. Step 3: Cross multiply
    392,436x = 607,518 × 607,518
  4. Step 4: Simplify right side
    392,436x = 369,078,120,324
  5. Step 5: Solve for x
    x = 369,078,120,324/392,436
  6. Step 6: Final answer
    x = 940,479.77

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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.