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Finding the Third Proportional to 137,499.75 and 215,970.75

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Solution

The third proportional to 137,499.75 and 215,970.75 is: 339,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,499.75 : 215,970.75 = 215,970.75 : x
  2. Step 2: Convert to fraction form
    137,499.75/215,970.75 = 215,970.75/x
  3. Step 3: Cross multiply
    137,499.75x = 215,970.75 × 215,970.75
  4. Step 4: Simplify right side
    137,499.75x = 46,643,364,855.56
  5. Step 5: Solve for x
    x = 46,643,364,855.56/137,499.75
  6. Step 6: Final answer
    x = 339,225.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.