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Finding the Third Proportional to 207,013.75 and 311,557.25

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Solution

The third proportional to 207,013.75 and 311,557.25 is: 468,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,013.75 : 311,557.25 = 311,557.25 : x
  2. Step 2: Convert to fraction form
    207,013.75/311,557.25 = 311,557.25/x
  3. Step 3: Cross multiply
    207,013.75x = 311,557.25 × 311,557.25
  4. Step 4: Simplify right side
    207,013.75x = 97,067,920,027.56
  5. Step 5: Solve for x
    x = 97,067,920,027.56/207,013.75
  6. Step 6: Final answer
    x = 468,896.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.