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Finding the Third Proportional to 278,946 and 414,315

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Solution

The third proportional to 278,946 and 414,315 is: 615,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,946 : 414,315 = 414,315 : x
  2. Step 2: Convert to fraction form
    278,946/414,315 = 414,315/x
  3. Step 3: Cross multiply
    278,946x = 414,315 × 414,315
  4. Step 4: Simplify right side
    278,946x = 171,656,919,225
  5. Step 5: Solve for x
    x = 171,656,919,225/278,946
  6. Step 6: Final answer
    x = 615,376.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.