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Finding the Third Proportional to 272,632 and 413,853

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Solution

The third proportional to 272,632 and 413,853 is: 628,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,632 : 413,853 = 413,853 : x
  2. Step 2: Convert to fraction form
    272,632/413,853 = 413,853/x
  3. Step 3: Cross multiply
    272,632x = 413,853 × 413,853
  4. Step 4: Simplify right side
    272,632x = 171,274,305,609
  5. Step 5: Solve for x
    x = 171,274,305,609/272,632
  6. Step 6: Final answer
    x = 628,225.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.