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Finding the Third Proportional to 67,982.63 and 145,806.38

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Solution

The third proportional to 67,982.63 and 145,806.38 is: 312,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,982.63 : 145,806.38 = 145,806.38 : x
  2. Step 2: Convert to fraction form
    67,982.63/145,806.38 = 145,806.38/x
  3. Step 3: Cross multiply
    67,982.63x = 145,806.38 × 145,806.38
  4. Step 4: Simplify right side
    67,982.63x = 21,259,498,990.64
  5. Step 5: Solve for x
    x = 21,259,498,990.64/67,982.63
  6. Step 6: Final answer
    x = 312,719.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.