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Finding the Third Proportional to 475 and 687.13

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Solution

The third proportional to 475 and 687.13 is: 993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 687.13 = 687.13 : x
  2. Step 2: Convert to fraction form
    475/687.13 = 687.13/x
  3. Step 3: Cross multiply
    475x = 687.13 × 687.13
  4. Step 4: Simplify right side
    475x = 472,140.77
  5. Step 5: Solve for x
    x = 472,140.77/475
  6. Step 6: Final answer
    x = 993.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.