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Finding the Third Proportional to 178,131 and 266,305.50

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Solution

The third proportional to 178,131 and 266,305.50 is: 398,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,131 : 266,305.50 = 266,305.50 : x
  2. Step 2: Convert to fraction form
    178,131/266,305.50 = 266,305.50/x
  3. Step 3: Cross multiply
    178,131x = 266,305.50 × 266,305.50
  4. Step 4: Simplify right side
    178,131x = 70,918,619,330.25
  5. Step 5: Solve for x
    x = 70,918,619,330.25/178,131
  6. Step 6: Final answer
    x = 398,126.21

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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.