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Finding the Third Proportional to 281,502 and 411,311.25

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Solution

The third proportional to 281,502 and 411,311.25 is: 600,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,502 : 411,311.25 = 411,311.25 : x
  2. Step 2: Convert to fraction form
    281,502/411,311.25 = 411,311.25/x
  3. Step 3: Cross multiply
    281,502x = 411,311.25 × 411,311.25
  4. Step 4: Simplify right side
    281,502x = 169,176,944,376.56
  5. Step 5: Solve for x
    x = 169,176,944,376.56/281,502
  6. Step 6: Final answer
    x = 600,979.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.