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Finding the Third Proportional to 318.38 and 652.50

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Solution

The third proportional to 318.38 and 652.50 is: 1,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 652.50 = 652.50 : x
  2. Step 2: Convert to fraction form
    318.38/652.50 = 652.50/x
  3. Step 3: Cross multiply
    318.38x = 652.50 × 652.50
  4. Step 4: Simplify right side
    318.38x = 425,756.25
  5. Step 5: Solve for x
    x = 425,756.25/318.38
  6. Step 6: Final answer
    x = 1,337.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.