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Finding the Third Proportional to 109,758 and 169,195.50

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Solution

The third proportional to 109,758 and 169,195.50 is: 260,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,758 : 169,195.50 = 169,195.50 : x
  2. Step 2: Convert to fraction form
    109,758/169,195.50 = 169,195.50/x
  3. Step 3: Cross multiply
    109,758x = 169,195.50 × 169,195.50
  4. Step 4: Simplify right side
    109,758x = 28,627,117,220.25
  5. Step 5: Solve for x
    x = 28,627,117,220.25/109,758
  6. Step 6: Final answer
    x = 260,820.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.