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Finding the Third Proportional to 278,670 and 610,740

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Solution

The third proportional to 278,670 and 610,740 is: 1,338,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,670 : 610,740 = 610,740 : x
  2. Step 2: Convert to fraction form
    278,670/610,740 = 610,740/x
  3. Step 3: Cross multiply
    278,670x = 610,740 × 610,740
  4. Step 4: Simplify right side
    278,670x = 373,003,347,600
  5. Step 5: Solve for x
    x = 373,003,347,600/278,670
  6. Step 6: Final answer
    x = 1,338,512.75

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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.