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Finding the Third Proportional to 28,561 and 63,239

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Solution

The third proportional to 28,561 and 63,239 is: 140,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,561 : 63,239 = 63,239 : x
  2. Step 2: Convert to fraction form
    28,561/63,239 = 63,239/x
  3. Step 3: Cross multiply
    28,561x = 63,239 × 63,239
  4. Step 4: Simplify right side
    28,561x = 3,999,171,121
  5. Step 5: Solve for x
    x = 3,999,171,121/28,561
  6. Step 6: Final answer
    x = 140,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.