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Finding the Third Proportional to 138,585 and 209,125.50

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Solution

The third proportional to 138,585 and 209,125.50 is: 315,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,585 : 209,125.50 = 209,125.50 : x
  2. Step 2: Convert to fraction form
    138,585/209,125.50 = 209,125.50/x
  3. Step 3: Cross multiply
    138,585x = 209,125.50 × 209,125.50
  4. Step 4: Simplify right side
    138,585x = 43,733,474,750.25
  5. Step 5: Solve for x
    x = 43,733,474,750.25/138,585
  6. Step 6: Final answer
    x = 315,571.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.