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Finding the Third Proportional to 63,636 and 125,666

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Solution

The third proportional to 63,636 and 125,666 is: 248,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,636 : 125,666 = 125,666 : x
  2. Step 2: Convert to fraction form
    63,636/125,666 = 125,666/x
  3. Step 3: Cross multiply
    63,636x = 125,666 × 125,666
  4. Step 4: Simplify right side
    63,636x = 15,791,943,556
  5. Step 5: Solve for x
    x = 15,791,943,556/63,636
  6. Step 6: Final answer
    x = 248,160.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.