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Finding the Third Proportional to 109,437.75 and 169,011.56

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Solution

The third proportional to 109,437.75 and 169,011.56 is: 261,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,437.75 : 169,011.56 = 169,011.56 : x
  2. Step 2: Convert to fraction form
    109,437.75/169,011.56 = 169,011.56/x
  3. Step 3: Cross multiply
    109,437.75x = 169,011.56 × 169,011.56
  4. Step 4: Simplify right side
    109,437.75x = 28,564,908,258.69
  5. Step 5: Solve for x
    x = 28,564,908,258.69/109,437.75
  6. Step 6: Final answer
    x = 261,015.13

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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.