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Finding the Third Proportional to 399,654 and 872,523

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Solution

The third proportional to 399,654 and 872,523 is: 1,904,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,654 : 872,523 = 872,523 : x
  2. Step 2: Convert to fraction form
    399,654/872,523 = 872,523/x
  3. Step 3: Cross multiply
    399,654x = 872,523 × 872,523
  4. Step 4: Simplify right side
    399,654x = 761,296,385,529
  5. Step 5: Solve for x
    x = 761,296,385,529/399,654
  6. Step 6: Final answer
    x = 1,904,888.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.