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Finding the Third Proportional to 487.75 and 1,062.88

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Solution

The third proportional to 487.75 and 1,062.88 is: 2,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.75 : 1,062.88 = 1,062.88 : x
  2. Step 2: Convert to fraction form
    487.75/1,062.88 = 1,062.88/x
  3. Step 3: Cross multiply
    487.75x = 1,062.88 × 1,062.88
  4. Step 4: Simplify right side
    487.75x = 1,129,703.27
  5. Step 5: Solve for x
    x = 1,129,703.27/487.75
  6. Step 6: Final answer
    x = 2,316.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.