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Finding the Third Proportional to 137,647.13 and 200,478.75

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Solution

The third proportional to 137,647.13 and 200,478.75 is: 291,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,647.13 : 200,478.75 = 200,478.75 : x
  2. Step 2: Convert to fraction form
    137,647.13/200,478.75 = 200,478.75/x
  3. Step 3: Cross multiply
    137,647.13x = 200,478.75 × 200,478.75
  4. Step 4: Simplify right side
    137,647.13x = 40,191,729,201.56
  5. Step 5: Solve for x
    x = 40,191,729,201.56/137,647.13
  6. Step 6: Final answer
    x = 291,991.05

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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.