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Finding the Third Proportional to 129,762 and 279,774

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Solution

The third proportional to 129,762 and 279,774 is: 603,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762 : 279,774 = 279,774 : x
  2. Step 2: Convert to fraction form
    129,762/279,774 = 279,774/x
  3. Step 3: Cross multiply
    129,762x = 279,774 × 279,774
  4. Step 4: Simplify right side
    129,762x = 78,273,491,076
  5. Step 5: Solve for x
    x = 78,273,491,076/129,762
  6. Step 6: Final answer
    x = 603,208.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.