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Finding the Third Proportional to 124,714.50 and 282,720

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Solution

The third proportional to 124,714.50 and 282,720 is: 640,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,714.50 : 282,720 = 282,720 : x
  2. Step 2: Convert to fraction form
    124,714.50/282,720 = 282,720/x
  3. Step 3: Cross multiply
    124,714.50x = 282,720 × 282,720
  4. Step 4: Simplify right side
    124,714.50x = 79,930,598,400
  5. Step 5: Solve for x
    x = 79,930,598,400/124,714.50
  6. Step 6: Final answer
    x = 640,908.62

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.