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Finding the Third Proportional to 462,889 and 721,397

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Solution

The third proportional to 462,889 and 721,397 is: 1,124,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,889 : 721,397 = 721,397 : x
  2. Step 2: Convert to fraction form
    462,889/721,397 = 721,397/x
  3. Step 3: Cross multiply
    462,889x = 721,397 × 721,397
  4. Step 4: Simplify right side
    462,889x = 520,413,631,609
  5. Step 5: Solve for x
    x = 520,413,631,609/462,889
  6. Step 6: Final answer
    x = 1,124,273.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.