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Finding the Third Proportional to 28,686 and 63,028

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Solution

The third proportional to 28,686 and 63,028 is: 138,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,686 : 63,028 = 63,028 : x
  2. Step 2: Convert to fraction form
    28,686/63,028 = 63,028/x
  3. Step 3: Cross multiply
    28,686x = 63,028 × 63,028
  4. Step 4: Simplify right side
    28,686x = 3,972,528,784
  5. Step 5: Solve for x
    x = 3,972,528,784/28,686
  6. Step 6: Final answer
    x = 138,483.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.