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Finding the Third Proportional to 131,008 and 280,432

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Solution

The third proportional to 131,008 and 280,432 is: 600,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,008 : 280,432 = 280,432 : x
  2. Step 2: Convert to fraction form
    131,008/280,432 = 280,432/x
  3. Step 3: Cross multiply
    131,008x = 280,432 × 280,432
  4. Step 4: Simplify right side
    131,008x = 78,642,106,624
  5. Step 5: Solve for x
    x = 78,642,106,624/131,008
  6. Step 6: Final answer
    x = 600,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.