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Finding the Third Proportional to 643,228 and 857,521

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Solution

The third proportional to 643,228 and 857,521 is: 1,143,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,228 : 857,521 = 857,521 : x
  2. Step 2: Convert to fraction form
    643,228/857,521 = 857,521/x
  3. Step 3: Cross multiply
    643,228x = 857,521 × 857,521
  4. Step 4: Simplify right side
    643,228x = 735,342,265,441
  5. Step 5: Solve for x
    x = 735,342,265,441/643,228
  6. Step 6: Final answer
    x = 1,143,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.