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Finding the Third Proportional to 684,540 and 1,412,712

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Solution

The third proportional to 684,540 and 1,412,712 is: 2,915,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,540 : 1,412,712 = 1,412,712 : x
  2. Step 2: Convert to fraction form
    684,540/1,412,712 = 1,412,712/x
  3. Step 3: Cross multiply
    684,540x = 1,412,712 × 1,412,712
  4. Step 4: Simplify right side
    684,540x = 1,995,755,194,944
  5. Step 5: Solve for x
    x = 1,995,755,194,944/684,540
  6. Step 6: Final answer
    x = 2,915,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.