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Finding the Third Proportional to 399,752 and 851,292

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Solution

The third proportional to 399,752 and 851,292 is: 1,812,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,752 : 851,292 = 851,292 : x
  2. Step 2: Convert to fraction form
    399,752/851,292 = 851,292/x
  3. Step 3: Cross multiply
    399,752x = 851,292 × 851,292
  4. Step 4: Simplify right side
    399,752x = 724,698,069,264
  5. Step 5: Solve for x
    x = 724,698,069,264/399,752
  6. Step 6: Final answer
    x = 1,812,869.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.