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Finding the Third Proportional to 30,675.38 and 67,206.38

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Solution

The third proportional to 30,675.38 and 67,206.38 is: 147,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.38 : 67,206.38 = 67,206.38 : x
  2. Step 2: Convert to fraction form
    30,675.38/67,206.38 = 67,206.38/x
  3. Step 3: Cross multiply
    30,675.38x = 67,206.38 × 67,206.38
  4. Step 4: Simplify right side
    30,675.38x = 4,516,696,840.64
  5. Step 5: Solve for x
    x = 4,516,696,840.64/30,675.38
  6. Step 6: Final answer
    x = 147,241.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.