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Finding the Third Proportional to 178,184 and 266,403

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Solution

The third proportional to 178,184 and 266,403 is: 398,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,184 : 266,403 = 266,403 : x
  2. Step 2: Convert to fraction form
    178,184/266,403 = 266,403/x
  3. Step 3: Cross multiply
    178,184x = 266,403 × 266,403
  4. Step 4: Simplify right side
    178,184x = 70,970,558,409
  5. Step 5: Solve for x
    x = 70,970,558,409/178,184
  6. Step 6: Final answer
    x = 398,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.