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Finding the Third Proportional to 268,711.50 and 401,663.25

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Solution

The third proportional to 268,711.50 and 401,663.25 is: 600,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,711.50 : 401,663.25 = 401,663.25 : x
  2. Step 2: Convert to fraction form
    268,711.50/401,663.25 = 401,663.25/x
  3. Step 3: Cross multiply
    268,711.50x = 401,663.25 × 401,663.25
  4. Step 4: Simplify right side
    268,711.50x = 161,333,366,400.56
  5. Step 5: Solve for x
    x = 161,333,366,400.56/268,711.50
  6. Step 6: Final answer
    x = 600,396.21

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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.