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Finding the Third Proportional to 287,690 and 440,295

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Solution

The third proportional to 287,690 and 440,295 is: 673,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,690 : 440,295 = 440,295 : x
  2. Step 2: Convert to fraction form
    287,690/440,295 = 440,295/x
  3. Step 3: Cross multiply
    287,690x = 440,295 × 440,295
  4. Step 4: Simplify right side
    287,690x = 193,859,687,025
  5. Step 5: Solve for x
    x = 193,859,687,025/287,690
  6. Step 6: Final answer
    x = 673,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.