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Finding the Third Proportional to 281,487 and 574,434

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Solution

The third proportional to 281,487 and 574,434 is: 1,172,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,487 : 574,434 = 574,434 : x
  2. Step 2: Convert to fraction form
    281,487/574,434 = 574,434/x
  3. Step 3: Cross multiply
    281,487x = 574,434 × 574,434
  4. Step 4: Simplify right side
    281,487x = 329,974,420,356
  5. Step 5: Solve for x
    x = 329,974,420,356/281,487
  6. Step 6: Final answer
    x = 1,172,254.56

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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.