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Finding the Third Proportional to 278,141.98 and 571,029.12

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Solution

The third proportional to 278,141.98 and 571,029.12 is: 1,172,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,141.98 : 571,029.12 = 571,029.12 : x
  2. Step 2: Convert to fraction form
    278,141.98/571,029.12 = 571,029.12/x
  3. Step 3: Cross multiply
    278,141.98x = 571,029.12 × 571,029.12
  4. Step 4: Simplify right side
    278,141.98x = 326,074,252,675.94
  5. Step 5: Solve for x
    x = 326,074,252,675.94/278,141.98
  6. Step 6: Final answer
    x = 1,172,330.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.