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Finding the Third Proportional to 442,991 and 687,237

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Solution

The third proportional to 442,991 and 687,237 is: 1,066,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,991 : 687,237 = 687,237 : x
  2. Step 2: Convert to fraction form
    442,991/687,237 = 687,237/x
  3. Step 3: Cross multiply
    442,991x = 687,237 × 687,237
  4. Step 4: Simplify right side
    442,991x = 472,294,694,169
  5. Step 5: Solve for x
    x = 472,294,694,169/442,991
  6. Step 6: Final answer
    x = 1,066,149.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.