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Finding the Third Proportional to 465.32 and 687.18

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Solution

The third proportional to 465.32 and 687.18 is: 1,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 687.18 = 687.18 : x
  2. Step 2: Convert to fraction form
    465.32/687.18 = 687.18/x
  3. Step 3: Cross multiply
    465.32x = 687.18 × 687.18
  4. Step 4: Simplify right side
    465.32x = 472,209.55
  5. Step 5: Solve for x
    x = 472,209.55/465.32
  6. Step 6: Final answer
    x = 1,014.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.