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Finding the Third Proportional to 392,042 and 586,497

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Solution

The third proportional to 392,042 and 586,497 is: 877,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,042 : 586,497 = 586,497 : x
  2. Step 2: Convert to fraction form
    392,042/586,497 = 586,497/x
  3. Step 3: Cross multiply
    392,042x = 586,497 × 586,497
  4. Step 4: Simplify right side
    392,042x = 343,978,731,009
  5. Step 5: Solve for x
    x = 343,978,731,009/392,042
  6. Step 6: Final answer
    x = 877,402.76

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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.