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Finding the Third Proportional to 309,444 and 678,624

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Solution

The third proportional to 309,444 and 678,624 is: 1,488,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,444 : 678,624 = 678,624 : x
  2. Step 2: Convert to fraction form
    309,444/678,624 = 678,624/x
  3. Step 3: Cross multiply
    309,444x = 678,624 × 678,624
  4. Step 4: Simplify right side
    309,444x = 460,530,533,376
  5. Step 5: Solve for x
    x = 460,530,533,376/309,444
  6. Step 6: Final answer
    x = 1,488,251.62

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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.