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Finding the Third Proportional to 437,904 and 658,800

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Solution

The third proportional to 437,904 and 658,800 is: 991,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,904 : 658,800 = 658,800 : x
  2. Step 2: Convert to fraction form
    437,904/658,800 = 658,800/x
  3. Step 3: Cross multiply
    437,904x = 658,800 × 658,800
  4. Step 4: Simplify right side
    437,904x = 434,017,440,000
  5. Step 5: Solve for x
    x = 434,017,440,000/437,904
  6. Step 6: Final answer
    x = 991,124.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.