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Finding the Third Proportional to 524.13 and 787.38

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Solution

The third proportional to 524.13 and 787.38 is: 1,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 787.38 = 787.38 : x
  2. Step 2: Convert to fraction form
    524.13/787.38 = 787.38/x
  3. Step 3: Cross multiply
    524.13x = 787.38 × 787.38
  4. Step 4: Simplify right side
    524.13x = 619,959.39
  5. Step 5: Solve for x
    x = 619,959.39/524.13
  6. Step 6: Final answer
    x = 1,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.