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Finding the Third Proportional to 150,282 and 239,639

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Solution

The third proportional to 150,282 and 239,639 is: 382,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,282 : 239,639 = 239,639 : x
  2. Step 2: Convert to fraction form
    150,282/239,639 = 239,639/x
  3. Step 3: Cross multiply
    150,282x = 239,639 × 239,639
  4. Step 4: Simplify right side
    150,282x = 57,426,850,321
  5. Step 5: Solve for x
    x = 57,426,850,321/150,282
  6. Step 6: Final answer
    x = 382,127.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.