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Finding the Third Proportional to 142,722 and 219,460

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Solution

The third proportional to 142,722 and 219,460 is: 337,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 219,460 = 219,460 : x
  2. Step 2: Convert to fraction form
    142,722/219,460 = 219,460/x
  3. Step 3: Cross multiply
    142,722x = 219,460 × 219,460
  4. Step 4: Simplify right side
    142,722x = 48,162,691,600
  5. Step 5: Solve for x
    x = 48,162,691,600/142,722
  6. Step 6: Final answer
    x = 337,458.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.