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Finding the Third Proportional to 129,345.50 and 193,221

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Solution

The third proportional to 129,345.50 and 193,221 is: 288,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,345.50 : 193,221 = 193,221 : x
  2. Step 2: Convert to fraction form
    129,345.50/193,221 = 193,221/x
  3. Step 3: Cross multiply
    129,345.50x = 193,221 × 193,221
  4. Step 4: Simplify right side
    129,345.50x = 37,334,354,841
  5. Step 5: Solve for x
    x = 37,334,354,841/129,345.50
  6. Step 6: Final answer
    x = 288,640.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.