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Finding the Third Proportional to 150,339 and 220,587

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Solution

The third proportional to 150,339 and 220,587 is: 323,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,339 : 220,587 = 220,587 : x
  2. Step 2: Convert to fraction form
    150,339/220,587 = 220,587/x
  3. Step 3: Cross multiply
    150,339x = 220,587 × 220,587
  4. Step 4: Simplify right side
    150,339x = 48,658,624,569
  5. Step 5: Solve for x
    x = 48,658,624,569/150,339
  6. Step 6: Final answer
    x = 323,659.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.