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Finding the Third Proportional to 30,142.97 and 63,668.53

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Solution

The third proportional to 30,142.97 and 63,668.53 is: 134,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.97 : 63,668.53 = 63,668.53 : x
  2. Step 2: Convert to fraction form
    30,142.97/63,668.53 = 63,668.53/x
  3. Step 3: Cross multiply
    30,142.97x = 63,668.53 × 63,668.53
  4. Step 4: Simplify right side
    30,142.97x = 4,053,681,871.53
  5. Step 5: Solve for x
    x = 4,053,681,871.53/30,142.97
  6. Step 6: Final answer
    x = 134,481.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.