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Finding the Third Proportional to 140,465.25 and 220,110.75

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Solution

The third proportional to 140,465.25 and 220,110.75 is: 344,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,465.25 : 220,110.75 = 220,110.75 : x
  2. Step 2: Convert to fraction form
    140,465.25/220,110.75 = 220,110.75/x
  3. Step 3: Cross multiply
    140,465.25x = 220,110.75 × 220,110.75
  4. Step 4: Simplify right side
    140,465.25x = 48,448,742,265.56
  5. Step 5: Solve for x
    x = 48,448,742,265.56/140,465.25
  6. Step 6: Final answer
    x = 344,916.21

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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.