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Finding the Third Proportional to 772.45 and 1,132.10

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Solution

The third proportional to 772.45 and 1,132.10 is: 1,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,132.10 = 1,132.10 : x
  2. Step 2: Convert to fraction form
    772.45/1,132.10 = 1,132.10/x
  3. Step 3: Cross multiply
    772.45x = 1,132.10 × 1,132.10
  4. Step 4: Simplify right side
    772.45x = 1,281,653.95
  5. Step 5: Solve for x
    x = 1,281,653.95/772.45
  6. Step 6: Final answer
    x = 1,659.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.