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Finding the Third Proportional to 402,974 and 847,324

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Solution

The third proportional to 402,974 and 847,324 is: 1,781,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,974 : 847,324 = 847,324 : x
  2. Step 2: Convert to fraction form
    402,974/847,324 = 847,324/x
  3. Step 3: Cross multiply
    402,974x = 847,324 × 847,324
  4. Step 4: Simplify right side
    402,974x = 717,957,960,976
  5. Step 5: Solve for x
    x = 717,957,960,976/402,974
  6. Step 6: Final answer
    x = 1,781,648.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.