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Finding the Third Proportional to 278,460 and 606,915

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Solution

The third proportional to 278,460 and 606,915 is: 1,322,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460 : 606,915 = 606,915 : x
  2. Step 2: Convert to fraction form
    278,460/606,915 = 606,915/x
  3. Step 3: Cross multiply
    278,460x = 606,915 × 606,915
  4. Step 4: Simplify right side
    278,460x = 368,345,817,225
  5. Step 5: Solve for x
    x = 368,345,817,225/278,460
  6. Step 6: Final answer
    x = 1,322,796.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.