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Finding the Third Proportional to 145,616 and 219,761

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Solution

The third proportional to 145,616 and 219,761 is: 331,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616 : 219,761 = 219,761 : x
  2. Step 2: Convert to fraction form
    145,616/219,761 = 219,761/x
  3. Step 3: Cross multiply
    145,616x = 219,761 × 219,761
  4. Step 4: Simplify right side
    145,616x = 48,294,897,121
  5. Step 5: Solve for x
    x = 48,294,897,121/145,616
  6. Step 6: Final answer
    x = 331,659.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.