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Finding the Third Proportional to 278,068 and 610,278

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Solution

The third proportional to 278,068 and 610,278 is: 1,339,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,068 : 610,278 = 610,278 : x
  2. Step 2: Convert to fraction form
    278,068/610,278 = 610,278/x
  3. Step 3: Cross multiply
    278,068x = 610,278 × 610,278
  4. Step 4: Simplify right side
    278,068x = 372,439,237,284
  5. Step 5: Solve for x
    x = 372,439,237,284/278,068
  6. Step 6: Final answer
    x = 1,339,381.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.