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Finding the Third Proportional to 462.88 and 678.13

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Solution

The third proportional to 462.88 and 678.13 is: 993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 678.13 = 678.13 : x
  2. Step 2: Convert to fraction form
    462.88/678.13 = 678.13/x
  3. Step 3: Cross multiply
    462.88x = 678.13 × 678.13
  4. Step 4: Simplify right side
    462.88x = 459,853.52
  5. Step 5: Solve for x
    x = 459,853.52/462.88
  6. Step 6: Final answer
    x = 993.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.