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Finding the Third Proportional to 278,136 and 608,760

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Solution

The third proportional to 278,136 and 608,760 is: 1,332,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,136 : 608,760 = 608,760 : x
  2. Step 2: Convert to fraction form
    278,136/608,760 = 608,760/x
  3. Step 3: Cross multiply
    278,136x = 608,760 × 608,760
  4. Step 4: Simplify right side
    278,136x = 370,588,737,600
  5. Step 5: Solve for x
    x = 370,588,737,600/278,136
  6. Step 6: Final answer
    x = 1,332,401.19

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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.