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Finding the Third Proportional to 278,888 and 574,287

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Solution

The third proportional to 278,888 and 574,287 is: 1,182,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,888 : 574,287 = 574,287 : x
  2. Step 2: Convert to fraction form
    278,888/574,287 = 574,287/x
  3. Step 3: Cross multiply
    278,888x = 574,287 × 574,287
  4. Step 4: Simplify right side
    278,888x = 329,805,558,369
  5. Step 5: Solve for x
    x = 329,805,558,369/278,888
  6. Step 6: Final answer
    x = 1,182,573.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.