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Finding the Third Proportional to 456.38 and 715.13

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Solution

The third proportional to 456.38 and 715.13 is: 1,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.38 : 715.13 = 715.13 : x
  2. Step 2: Convert to fraction form
    456.38/715.13 = 715.13/x
  3. Step 3: Cross multiply
    456.38x = 715.13 × 715.13
  4. Step 4: Simplify right side
    456.38x = 511,403.77
  5. Step 5: Solve for x
    x = 511,403.77/456.38
  6. Step 6: Final answer
    x = 1,120.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.