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Finding the Third Proportional to 28,731 and 63,051

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Solution

The third proportional to 28,731 and 63,051 is: 138,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,731 : 63,051 = 63,051 : x
  2. Step 2: Convert to fraction form
    28,731/63,051 = 63,051/x
  3. Step 3: Cross multiply
    28,731x = 63,051 × 63,051
  4. Step 4: Simplify right side
    28,731x = 3,975,428,601
  5. Step 5: Solve for x
    x = 3,975,428,601/28,731
  6. Step 6: Final answer
    x = 138,367.22

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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.