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Finding the Third Proportional to 91,539 and 198,302.50

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Solution

The third proportional to 91,539 and 198,302.50 is: 429,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,539 : 198,302.50 = 198,302.50 : x
  2. Step 2: Convert to fraction form
    91,539/198,302.50 = 198,302.50/x
  3. Step 3: Cross multiply
    91,539x = 198,302.50 × 198,302.50
  4. Step 4: Simplify right side
    91,539x = 39,323,881,506.25
  5. Step 5: Solve for x
    x = 39,323,881,506.25/91,539
  6. Step 6: Final answer
    x = 429,586.09

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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.