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Finding the Third Proportional to 153,909 and 330,815

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Solution

The third proportional to 153,909 and 330,815 is: 711,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909 : 330,815 = 330,815 : x
  2. Step 2: Convert to fraction form
    153,909/330,815 = 330,815/x
  3. Step 3: Cross multiply
    153,909x = 330,815 × 330,815
  4. Step 4: Simplify right side
    153,909x = 109,438,564,225
  5. Step 5: Solve for x
    x = 109,438,564,225/153,909
  6. Step 6: Final answer
    x = 711,060.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.