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Finding the Third Proportional to 278,154 and 418,527

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Solution

The third proportional to 278,154 and 418,527 is: 629,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154 : 418,527 = 418,527 : x
  2. Step 2: Convert to fraction form
    278,154/418,527 = 418,527/x
  3. Step 3: Cross multiply
    278,154x = 418,527 × 418,527
  4. Step 4: Simplify right side
    278,154x = 175,164,849,729
  5. Step 5: Solve for x
    x = 175,164,849,729/278,154
  6. Step 6: Final answer
    x = 629,740.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.