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Finding the Third Proportional to 269,988 and 402,795

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Solution

The third proportional to 269,988 and 402,795 is: 600,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,988 : 402,795 = 402,795 : x
  2. Step 2: Convert to fraction form
    269,988/402,795 = 402,795/x
  3. Step 3: Cross multiply
    269,988x = 402,795 × 402,795
  4. Step 4: Simplify right side
    269,988x = 162,243,812,025
  5. Step 5: Solve for x
    x = 162,243,812,025/269,988
  6. Step 6: Final answer
    x = 600,929.72

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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.