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Finding the Third Proportional to 181,467 and 280,719

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Solution

The third proportional to 181,467 and 280,719 is: 434,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 280,719 = 280,719 : x
  2. Step 2: Convert to fraction form
    181,467/280,719 = 280,719/x
  3. Step 3: Cross multiply
    181,467x = 280,719 × 280,719
  4. Step 4: Simplify right side
    181,467x = 78,803,156,961
  5. Step 5: Solve for x
    x = 78,803,156,961/181,467
  6. Step 6: Final answer
    x = 434,256.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.