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Finding the Third Proportional to 100,782 and 145,684.13

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Solution

The third proportional to 100,782 and 145,684.13 is: 210,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782 : 145,684.13 = 145,684.13 : x
  2. Step 2: Convert to fraction form
    100,782/145,684.13 = 145,684.13/x
  3. Step 3: Cross multiply
    100,782x = 145,684.13 × 145,684.13
  4. Step 4: Simplify right side
    100,782x = 21,223,864,277.02
  5. Step 5: Solve for x
    x = 21,223,864,277.02/100,782
  6. Step 6: Final answer
    x = 210,591.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.