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Finding the Third Proportional to 275,658 and 442,282

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Solution

The third proportional to 275,658 and 442,282 is: 709,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,658 : 442,282 = 442,282 : x
  2. Step 2: Convert to fraction form
    275,658/442,282 = 442,282/x
  3. Step 3: Cross multiply
    275,658x = 442,282 × 442,282
  4. Step 4: Simplify right side
    275,658x = 195,613,367,524
  5. Step 5: Solve for x
    x = 195,613,367,524/275,658
  6. Step 6: Final answer
    x = 709,623.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.