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Finding the Third Proportional to 76,972.50 and 165,406.50

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Solution

The third proportional to 76,972.50 and 165,406.50 is: 355,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,972.50 : 165,406.50 = 165,406.50 : x
  2. Step 2: Convert to fraction form
    76,972.50/165,406.50 = 165,406.50/x
  3. Step 3: Cross multiply
    76,972.50x = 165,406.50 × 165,406.50
  4. Step 4: Simplify right side
    76,972.50x = 27,359,310,242.25
  5. Step 5: Solve for x
    x = 27,359,310,242.25/76,972.50
  6. Step 6: Final answer
    x = 355,442.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.