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Finding the Third Proportional to 392,052 and 586,511

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Solution

The third proportional to 392,052 and 586,511 is: 877,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052 : 586,511 = 586,511 : x
  2. Step 2: Convert to fraction form
    392,052/586,511 = 586,511/x
  3. Step 3: Cross multiply
    392,052x = 586,511 × 586,511
  4. Step 4: Simplify right side
    392,052x = 343,995,153,121
  5. Step 5: Solve for x
    x = 343,995,153,121/392,052
  6. Step 6: Final answer
    x = 877,422.26

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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.