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Finding the Third Proportional to 269,878 and 402,630

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Solution

The third proportional to 269,878 and 402,630 is: 600,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,878 : 402,630 = 402,630 : x
  2. Step 2: Convert to fraction form
    269,878/402,630 = 402,630/x
  3. Step 3: Cross multiply
    269,878x = 402,630 × 402,630
  4. Step 4: Simplify right side
    269,878x = 162,110,916,900
  5. Step 5: Solve for x
    x = 162,110,916,900/269,878
  6. Step 6: Final answer
    x = 600,682.22

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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.