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Finding the Third Proportional to 511.63 and 772.19

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Solution

The third proportional to 511.63 and 772.19 is: 1,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 772.19 = 772.19 : x
  2. Step 2: Convert to fraction form
    511.63/772.19 = 772.19/x
  3. Step 3: Cross multiply
    511.63x = 772.19 × 772.19
  4. Step 4: Simplify right side
    511.63x = 596,276.55
  5. Step 5: Solve for x
    x = 596,276.55/511.63
  6. Step 6: Final answer
    x = 1,165.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.