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Finding the Third Proportional to 178,240.50 and 266,459.25

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Solution

The third proportional to 178,240.50 and 266,459.25 is: 398,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,240.50 : 266,459.25 = 266,459.25 : x
  2. Step 2: Convert to fraction form
    178,240.50/266,459.25 = 266,459.25/x
  3. Step 3: Cross multiply
    178,240.50x = 266,459.25 × 266,459.25
  4. Step 4: Simplify right side
    178,240.50x = 71,000,531,910.56
  5. Step 5: Solve for x
    x = 71,000,531,910.56/178,240.50
  6. Step 6: Final answer
    x = 398,341.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.