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Finding the Third Proportional to 6,952 and 15,132.50

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Solution

The third proportional to 6,952 and 15,132.50 is: 32,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952 : 15,132.50 = 15,132.50 : x
  2. Step 2: Convert to fraction form
    6,952/15,132.50 = 15,132.50/x
  3. Step 3: Cross multiply
    6,952x = 15,132.50 × 15,132.50
  4. Step 4: Simplify right side
    6,952x = 228,992,556.25
  5. Step 5: Solve for x
    x = 228,992,556.25/6,952
  6. Step 6: Final answer
    x = 32,939.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.