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Finding the Third Proportional to 392,141 and 586,650

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Solution

The third proportional to 392,141 and 586,650 is: 877,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,141 : 586,650 = 586,650 : x
  2. Step 2: Convert to fraction form
    392,141/586,650 = 586,650/x
  3. Step 3: Cross multiply
    392,141x = 586,650 × 586,650
  4. Step 4: Simplify right side
    392,141x = 344,158,222,500
  5. Step 5: Solve for x
    x = 344,158,222,500/392,141
  6. Step 6: Final answer
    x = 877,638.97

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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.