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Finding the Third Proportional to 147,798 and 220,725

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Solution

The third proportional to 147,798 and 220,725 is: 329,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 220,725 = 220,725 : x
  2. Step 2: Convert to fraction form
    147,798/220,725 = 220,725/x
  3. Step 3: Cross multiply
    147,798x = 220,725 × 220,725
  4. Step 4: Simplify right side
    147,798x = 48,719,525,625
  5. Step 5: Solve for x
    x = 48,719,525,625/147,798
  6. Step 6: Final answer
    x = 329,635.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.