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Finding the Third Proportional to 457.50 and 680.25

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Solution

The third proportional to 457.50 and 680.25 is: 1,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.50 : 680.25 = 680.25 : x
  2. Step 2: Convert to fraction form
    457.50/680.25 = 680.25/x
  3. Step 3: Cross multiply
    457.50x = 680.25 × 680.25
  4. Step 4: Simplify right side
    457.50x = 462,740.06
  5. Step 5: Solve for x
    x = 462,740.06/457.50
  6. Step 6: Final answer
    x = 1,011.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.