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Finding the Third Proportional to 392,430 and 607,509

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Solution

The third proportional to 392,430 and 607,509 is: 940,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,430 : 607,509 = 607,509 : x
  2. Step 2: Convert to fraction form
    392,430/607,509 = 607,509/x
  3. Step 3: Cross multiply
    392,430x = 607,509 × 607,509
  4. Step 4: Simplify right side
    392,430x = 369,067,185,081
  5. Step 5: Solve for x
    x = 369,067,185,081/392,430
  6. Step 6: Final answer
    x = 940,466.29

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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.