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Finding the Third Proportional to 287,021 and 625,711

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Solution

The third proportional to 287,021 and 625,711 is: 1,364,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,021 : 625,711 = 625,711 : x
  2. Step 2: Convert to fraction form
    287,021/625,711 = 625,711/x
  3. Step 3: Cross multiply
    287,021x = 625,711 × 625,711
  4. Step 4: Simplify right side
    287,021x = 391,514,255,521
  5. Step 5: Solve for x
    x = 391,514,255,521/287,021
  6. Step 6: Final answer
    x = 1,364,061.36

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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.