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Finding the Third Proportional to 281,478 and 574,416

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Solution

The third proportional to 281,478 and 574,416 is: 1,172,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,478 : 574,416 = 574,416 : x
  2. Step 2: Convert to fraction form
    281,478/574,416 = 574,416/x
  3. Step 3: Cross multiply
    281,478x = 574,416 × 574,416
  4. Step 4: Simplify right side
    281,478x = 329,953,741,056
  5. Step 5: Solve for x
    x = 329,953,741,056/281,478
  6. Step 6: Final answer
    x = 1,172,218.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.