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Finding the Third Proportional to 407,637 and 844,074

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Solution

The third proportional to 407,637 and 844,074 is: 1,747,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,637 : 844,074 = 844,074 : x
  2. Step 2: Convert to fraction form
    407,637/844,074 = 844,074/x
  3. Step 3: Cross multiply
    407,637x = 844,074 × 844,074
  4. Step 4: Simplify right side
    407,637x = 712,460,917,476
  5. Step 5: Solve for x
    x = 712,460,917,476/407,637
  6. Step 6: Final answer
    x = 1,747,782.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.