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Finding the Third Proportional to 52,842.75 and 93,132.75

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Solution

The third proportional to 52,842.75 and 93,132.75 is: 164,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842.75 : 93,132.75 = 93,132.75 : x
  2. Step 2: Convert to fraction form
    52,842.75/93,132.75 = 93,132.75/x
  3. Step 3: Cross multiply
    52,842.75x = 93,132.75 × 93,132.75
  4. Step 4: Simplify right side
    52,842.75x = 8,673,709,122.56
  5. Step 5: Solve for x
    x = 8,673,709,122.56/52,842.75
  6. Step 6: Final answer
    x = 164,141.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.