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Finding the Third Proportional to 156,721 and 238,749

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Solution

The third proportional to 156,721 and 238,749 is: 363,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,721 : 238,749 = 238,749 : x
  2. Step 2: Convert to fraction form
    156,721/238,749 = 238,749/x
  3. Step 3: Cross multiply
    156,721x = 238,749 × 238,749
  4. Step 4: Simplify right side
    156,721x = 57,001,085,001
  5. Step 5: Solve for x
    x = 57,001,085,001/156,721
  6. Step 6: Final answer
    x = 363,710.57

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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.