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Finding the Third Proportional to 261,839.25 and 400,368.38

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Solution

The third proportional to 261,839.25 and 400,368.38 is: 612,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,839.25 : 400,368.38 = 400,368.38 : x
  2. Step 2: Convert to fraction form
    261,839.25/400,368.38 = 400,368.38/x
  3. Step 3: Cross multiply
    261,839.25x = 400,368.38 × 400,368.38
  4. Step 4: Simplify right side
    261,839.25x = 160,294,835,700.14
  5. Step 5: Solve for x
    x = 160,294,835,700.14/261,839.25
  6. Step 6: Final answer
    x = 612,187.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.