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Finding the Third Proportional to 392,370 and 607,429

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Solution

The third proportional to 392,370 and 607,429 is: 940,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,370 : 607,429 = 607,429 : x
  2. Step 2: Convert to fraction form
    392,370/607,429 = 607,429/x
  3. Step 3: Cross multiply
    392,370x = 607,429 × 607,429
  4. Step 4: Simplify right side
    392,370x = 368,969,990,041
  5. Step 5: Solve for x
    x = 368,969,990,041/392,370
  6. Step 6: Final answer
    x = 940,362.39

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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.