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Finding the Third Proportional to 402,981 and 847,503

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Solution

The third proportional to 402,981 and 847,503 is: 1,782,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,981 : 847,503 = 847,503 : x
  2. Step 2: Convert to fraction form
    402,981/847,503 = 847,503/x
  3. Step 3: Cross multiply
    402,981x = 847,503 × 847,503
  4. Step 4: Simplify right side
    402,981x = 718,261,335,009
  5. Step 5: Solve for x
    x = 718,261,335,009/402,981
  6. Step 6: Final answer
    x = 1,782,370.22

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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.