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Finding the Third Proportional to 121,752 and 279,612

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Solution

The third proportional to 121,752 and 279,612 is: 642,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,752 : 279,612 = 279,612 : x
  2. Step 2: Convert to fraction form
    121,752/279,612 = 279,612/x
  3. Step 3: Cross multiply
    121,752x = 279,612 × 279,612
  4. Step 4: Simplify right side
    121,752x = 78,182,870,544
  5. Step 5: Solve for x
    x = 78,182,870,544/121,752
  6. Step 6: Final answer
    x = 642,148.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.