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Finding the Third Proportional to 420,234 and 971,853

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Solution

The third proportional to 420,234 and 971,853 is: 2,247,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,234 : 971,853 = 971,853 : x
  2. Step 2: Convert to fraction form
    420,234/971,853 = 971,853/x
  3. Step 3: Cross multiply
    420,234x = 971,853 × 971,853
  4. Step 4: Simplify right side
    420,234x = 944,498,253,609
  5. Step 5: Solve for x
    x = 944,498,253,609/420,234
  6. Step 6: Final answer
    x = 2,247,553.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.