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Finding the Third Proportional to 668,414 and 1,391,908

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Solution

The third proportional to 668,414 and 1,391,908 is: 2,898,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,414 : 1,391,908 = 1,391,908 : x
  2. Step 2: Convert to fraction form
    668,414/1,391,908 = 1,391,908/x
  3. Step 3: Cross multiply
    668,414x = 1,391,908 × 1,391,908
  4. Step 4: Simplify right side
    668,414x = 1,937,407,880,464
  5. Step 5: Solve for x
    x = 1,937,407,880,464/668,414
  6. Step 6: Final answer
    x = 2,898,514.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.