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Finding the Third Proportional to 392,394 and 607,464

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Solution

The third proportional to 392,394 and 607,464 is: 940,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,394 : 607,464 = 607,464 : x
  2. Step 2: Convert to fraction form
    392,394/607,464 = 607,464/x
  3. Step 3: Cross multiply
    392,394x = 607,464 × 607,464
  4. Step 4: Simplify right side
    392,394x = 369,012,511,296
  5. Step 5: Solve for x
    x = 369,012,511,296/392,394
  6. Step 6: Final answer
    x = 940,413.24

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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.