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Finding the Third Proportional to 278,144 and 516,558

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Solution

The third proportional to 278,144 and 516,558 is: 959,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144 : 516,558 = 516,558 : x
  2. Step 2: Convert to fraction form
    278,144/516,558 = 516,558/x
  3. Step 3: Cross multiply
    278,144x = 516,558 × 516,558
  4. Step 4: Simplify right side
    278,144x = 266,832,167,364
  5. Step 5: Solve for x
    x = 266,832,167,364/278,144
  6. Step 6: Final answer
    x = 959,331.02

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.