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Finding the Third Proportional to 278,646 and 590,412

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Solution

The third proportional to 278,646 and 590,412 is: 1,251,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,646 : 590,412 = 590,412 : x
  2. Step 2: Convert to fraction form
    278,646/590,412 = 590,412/x
  3. Step 3: Cross multiply
    278,646x = 590,412 × 590,412
  4. Step 4: Simplify right side
    278,646x = 348,586,329,744
  5. Step 5: Solve for x
    x = 348,586,329,744/278,646
  6. Step 6: Final answer
    x = 1,251,000.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.