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Finding the Third Proportional to 392,464 and 847,663

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Solution

The third proportional to 392,464 and 847,663 is: 1,830,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464 : 847,663 = 847,663 : x
  2. Step 2: Convert to fraction form
    392,464/847,663 = 847,663/x
  3. Step 3: Cross multiply
    392,464x = 847,663 × 847,663
  4. Step 4: Simplify right side
    392,464x = 718,532,561,569
  5. Step 5: Solve for x
    x = 718,532,561,569/392,464
  6. Step 6: Final answer
    x = 1,830,824.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.