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Finding the Third Proportional to 456.50 and 702.38

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Solution

The third proportional to 456.50 and 702.38 is: 1,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 702.38 = 702.38 : x
  2. Step 2: Convert to fraction form
    456.50/702.38 = 702.38/x
  3. Step 3: Cross multiply
    456.50x = 702.38 × 702.38
  4. Step 4: Simplify right side
    456.50x = 493,330.64
  5. Step 5: Solve for x
    x = 493,330.64/456.50
  6. Step 6: Final answer
    x = 1,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.