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Finding the Third Proportional to 279,990 and 614,412

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Solution

The third proportional to 279,990 and 614,412 is: 1,348,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,990 : 614,412 = 614,412 : x
  2. Step 2: Convert to fraction form
    279,990/614,412 = 614,412/x
  3. Step 3: Cross multiply
    279,990x = 614,412 × 614,412
  4. Step 4: Simplify right side
    279,990x = 377,502,105,744
  5. Step 5: Solve for x
    x = 377,502,105,744/279,990
  6. Step 6: Final answer
    x = 1,348,269.96

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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.