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Finding the Third Proportional to 399,548 and 872,725

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Solution

The third proportional to 399,548 and 872,725 is: 1,906,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,548 : 872,725 = 872,725 : x
  2. Step 2: Convert to fraction form
    399,548/872,725 = 872,725/x
  3. Step 3: Cross multiply
    399,548x = 872,725 × 872,725
  4. Step 4: Simplify right side
    399,548x = 761,648,925,625
  5. Step 5: Solve for x
    x = 761,648,925,625/399,548
  6. Step 6: Final answer
    x = 1,906,276.41

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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.