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Finding the Third Proportional to 115,280 and 176,418

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Solution

The third proportional to 115,280 and 176,418 is: 269,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280 : 176,418 = 176,418 : x
  2. Step 2: Convert to fraction form
    115,280/176,418 = 176,418/x
  3. Step 3: Cross multiply
    115,280x = 176,418 × 176,418
  4. Step 4: Simplify right side
    115,280x = 31,123,310,724
  5. Step 5: Solve for x
    x = 31,123,310,724/115,280
  6. Step 6: Final answer
    x = 269,980.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.