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Finding the Third Proportional to 109,580.50 and 148,494.75

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Solution

The third proportional to 109,580.50 and 148,494.75 is: 201,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580.50 : 148,494.75 = 148,494.75 : x
  2. Step 2: Convert to fraction form
    109,580.50/148,494.75 = 148,494.75/x
  3. Step 3: Cross multiply
    109,580.50x = 148,494.75 × 148,494.75
  4. Step 4: Simplify right side
    109,580.50x = 22,050,690,777.56
  5. Step 5: Solve for x
    x = 22,050,690,777.56/109,580.50
  6. Step 6: Final answer
    x = 201,228.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.