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Finding the Third Proportional to 91,158.75 and 198,765.56

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Solution

The third proportional to 91,158.75 and 198,765.56 is: 433,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,158.75 : 198,765.56 = 198,765.56 : x
  2. Step 2: Convert to fraction form
    91,158.75/198,765.56 = 198,765.56/x
  3. Step 3: Cross multiply
    91,158.75x = 198,765.56 × 198,765.56
  4. Step 4: Simplify right side
    91,158.75x = 39,507,748,835.94
  5. Step 5: Solve for x
    x = 39,507,748,835.94/91,158.75
  6. Step 6: Final answer
    x = 433,395.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.