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Finding the Third Proportional to 280,785 and 458,442

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Solution

The third proportional to 280,785 and 458,442 is: 748,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,785 : 458,442 = 458,442 : x
  2. Step 2: Convert to fraction form
    280,785/458,442 = 458,442/x
  3. Step 3: Cross multiply
    280,785x = 458,442 × 458,442
  4. Step 4: Simplify right side
    280,785x = 210,169,067,364
  5. Step 5: Solve for x
    x = 210,169,067,364/280,785
  6. Step 6: Final answer
    x = 748,505.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.