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Finding the Third Proportional to 274,290 and 411,435

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Solution

The third proportional to 274,290 and 411,435 is: 617,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,290 : 411,435 = 411,435 : x
  2. Step 2: Convert to fraction form
    274,290/411,435 = 411,435/x
  3. Step 3: Cross multiply
    274,290x = 411,435 × 411,435
  4. Step 4: Simplify right side
    274,290x = 169,278,759,225
  5. Step 5: Solve for x
    x = 169,278,759,225/274,290
  6. Step 6: Final answer
    x = 617,152.50

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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.