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Finding the Third Proportional to 69,205.64 and 108,419.77

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Solution

The third proportional to 69,205.64 and 108,419.77 is: 169,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205.64 : 108,419.77 = 108,419.77 : x
  2. Step 2: Convert to fraction form
    69,205.64/108,419.77 = 108,419.77/x
  3. Step 3: Cross multiply
    69,205.64x = 108,419.77 × 108,419.77
  4. Step 4: Simplify right side
    69,205.64x = 11,754,845,578.18
  5. Step 5: Solve for x
    x = 11,754,845,578.18/69,205.64
  6. Step 6: Final answer
    x = 169,853.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.