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Finding the Third Proportional to 142,614 and 221,721

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Solution

The third proportional to 142,614 and 221,721 is: 344,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,614 : 221,721 = 221,721 : x
  2. Step 2: Convert to fraction form
    142,614/221,721 = 221,721/x
  3. Step 3: Cross multiply
    142,614x = 221,721 × 221,721
  4. Step 4: Simplify right side
    142,614x = 49,160,201,841
  5. Step 5: Solve for x
    x = 49,160,201,841/142,614
  6. Step 6: Final answer
    x = 344,708.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.