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Finding the Third Proportional to 69,283 and 149,376

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Solution

The third proportional to 69,283 and 149,376 is: 322,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,283 : 149,376 = 149,376 : x
  2. Step 2: Convert to fraction form
    69,283/149,376 = 149,376/x
  3. Step 3: Cross multiply
    69,283x = 149,376 × 149,376
  4. Step 4: Simplify right side
    69,283x = 22,313,189,376
  5. Step 5: Solve for x
    x = 22,313,189,376/69,283
  6. Step 6: Final answer
    x = 322,058.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.