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Finding the Third Proportional to 173,218.50 and 259,129.13

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Solution

The third proportional to 173,218.50 and 259,129.13 is: 387,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,218.50 : 259,129.13 = 259,129.13 : x
  2. Step 2: Convert to fraction form
    173,218.50/259,129.13 = 259,129.13/x
  3. Step 3: Cross multiply
    173,218.50x = 259,129.13 × 259,129.13
  4. Step 4: Simplify right side
    173,218.50x = 67,147,903,423.27
  5. Step 5: Solve for x
    x = 67,147,903,423.27/173,218.50
  6. Step 6: Final answer
    x = 387,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.