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Finding the Third Proportional to 417.61 and 650.58

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Solution

The third proportional to 417.61 and 650.58 is: 1,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.61 : 650.58 = 650.58 : x
  2. Step 2: Convert to fraction form
    417.61/650.58 = 650.58/x
  3. Step 3: Cross multiply
    417.61x = 650.58 × 650.58
  4. Step 4: Simplify right side
    417.61x = 423,251.90
  5. Step 5: Solve for x
    x = 423,251.90/417.61
  6. Step 6: Final answer
    x = 1,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.