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Finding the Third Proportional to 138,678.75 and 198,166.50

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Solution

The third proportional to 138,678.75 and 198,166.50 is: 283,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,678.75 : 198,166.50 = 198,166.50 : x
  2. Step 2: Convert to fraction form
    138,678.75/198,166.50 = 198,166.50/x
  3. Step 3: Cross multiply
    138,678.75x = 198,166.50 × 198,166.50
  4. Step 4: Simplify right side
    138,678.75x = 39,269,961,722.25
  5. Step 5: Solve for x
    x = 39,269,961,722.25/138,678.75
  6. Step 6: Final answer
    x = 283,172.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.