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Finding the Third Proportional to 392,440 and 603,970

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Solution

The third proportional to 392,440 and 603,970 is: 929,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,440 : 603,970 = 603,970 : x
  2. Step 2: Convert to fraction form
    392,440/603,970 = 603,970/x
  3. Step 3: Cross multiply
    392,440x = 603,970 × 603,970
  4. Step 4: Simplify right side
    392,440x = 364,779,760,900
  5. Step 5: Solve for x
    x = 364,779,760,900/392,440
  6. Step 6: Final answer
    x = 929,517.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.