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Finding the Third Proportional to 123,257.50 and 176,138.25

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Solution

The third proportional to 123,257.50 and 176,138.25 is: 251,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,257.50 : 176,138.25 = 176,138.25 : x
  2. Step 2: Convert to fraction form
    123,257.50/176,138.25 = 176,138.25/x
  3. Step 3: Cross multiply
    123,257.50x = 176,138.25 × 176,138.25
  4. Step 4: Simplify right side
    123,257.50x = 31,024,683,113.06
  5. Step 5: Solve for x
    x = 31,024,683,113.06/123,257.50
  6. Step 6: Final answer
    x = 251,706.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.