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Finding the Third Proportional to 138,156.25 and 206,378.50

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Solution

The third proportional to 138,156.25 and 206,378.50 is: 308,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.25 : 206,378.50 = 206,378.50 : x
  2. Step 2: Convert to fraction form
    138,156.25/206,378.50 = 206,378.50/x
  3. Step 3: Cross multiply
    138,156.25x = 206,378.50 × 206,378.50
  4. Step 4: Simplify right side
    138,156.25x = 42,592,085,262.25
  5. Step 5: Solve for x
    x = 42,592,085,262.25/138,156.25
  6. Step 6: Final answer
    x = 308,289.24

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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.