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Finding the Third Proportional to 172,912.50 and 259,368.75

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Solution

The third proportional to 172,912.50 and 259,368.75 is: 389,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,912.50 : 259,368.75 = 259,368.75 : x
  2. Step 2: Convert to fraction form
    172,912.50/259,368.75 = 259,368.75/x
  3. Step 3: Cross multiply
    172,912.50x = 259,368.75 × 259,368.75
  4. Step 4: Simplify right side
    172,912.50x = 67,272,148,476.56
  5. Step 5: Solve for x
    x = 67,272,148,476.56/172,912.50
  6. Step 6: Final answer
    x = 389,053.13

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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.