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Finding the Third Proportional to 91,717.50 and 198,701.50

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Solution

The third proportional to 91,717.50 and 198,701.50 is: 430,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,717.50 : 198,701.50 = 198,701.50 : x
  2. Step 2: Convert to fraction form
    91,717.50/198,701.50 = 198,701.50/x
  3. Step 3: Cross multiply
    91,717.50x = 198,701.50 × 198,701.50
  4. Step 4: Simplify right side
    91,717.50x = 39,482,286,102.25
  5. Step 5: Solve for x
    x = 39,482,286,102.25/91,717.50
  6. Step 6: Final answer
    x = 430,477.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.