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Finding the Third Proportional to 272,289 and 380,853

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Solution

The third proportional to 272,289 and 380,853 is: 532,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,289 : 380,853 = 380,853 : x
  2. Step 2: Convert to fraction form
    272,289/380,853 = 380,853/x
  3. Step 3: Cross multiply
    272,289x = 380,853 × 380,853
  4. Step 4: Simplify right side
    272,289x = 145,049,007,609
  5. Step 5: Solve for x
    x = 145,049,007,609/272,289
  6. Step 6: Final answer
    x = 532,702.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.