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Finding the Third Proportional to 488.14 and 715.12

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Solution

The third proportional to 488.14 and 715.12 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 715.12 = 715.12 : x
  2. Step 2: Convert to fraction form
    488.14/715.12 = 715.12/x
  3. Step 3: Cross multiply
    488.14x = 715.12 × 715.12
  4. Step 4: Simplify right side
    488.14x = 511,393.29
  5. Step 5: Solve for x
    x = 511,393.29/488.14
  6. Step 6: Final answer
    x = 1,047.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.