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Finding the Third Proportional to 124,276 and 261,800

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Solution

The third proportional to 124,276 and 261,800 is: 551,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,276 : 261,800 = 261,800 : x
  2. Step 2: Convert to fraction form
    124,276/261,800 = 261,800/x
  3. Step 3: Cross multiply
    124,276x = 261,800 × 261,800
  4. Step 4: Simplify right side
    124,276x = 68,539,240,000
  5. Step 5: Solve for x
    x = 68,539,240,000/124,276
  6. Step 6: Final answer
    x = 551,508.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.