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Finding the Third Proportional to 562.13 and 680.25

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Solution

The third proportional to 562.13 and 680.25 is: 823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 680.25 = 680.25 : x
  2. Step 2: Convert to fraction form
    562.13/680.25 = 680.25/x
  3. Step 3: Cross multiply
    562.13x = 680.25 × 680.25
  4. Step 4: Simplify right side
    562.13x = 462,740.06
  5. Step 5: Solve for x
    x = 462,740.06/562.13
  6. Step 6: Final answer
    x = 823.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.