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Finding the Third Proportional to 269,990 and 402,798

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Solution

The third proportional to 269,990 and 402,798 is: 600,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,990 : 402,798 = 402,798 : x
  2. Step 2: Convert to fraction form
    269,990/402,798 = 402,798/x
  3. Step 3: Cross multiply
    269,990x = 402,798 × 402,798
  4. Step 4: Simplify right side
    269,990x = 162,246,228,804
  5. Step 5: Solve for x
    x = 162,246,228,804/269,990
  6. Step 6: Final answer
    x = 600,934.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.