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Finding the Third Proportional to 28,309 and 59,991

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Solution

The third proportional to 28,309 and 59,991 is: 127,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309 : 59,991 = 59,991 : x
  2. Step 2: Convert to fraction form
    28,309/59,991 = 59,991/x
  3. Step 3: Cross multiply
    28,309x = 59,991 × 59,991
  4. Step 4: Simplify right side
    28,309x = 3,598,920,081
  5. Step 5: Solve for x
    x = 3,598,920,081/28,309
  6. Step 6: Final answer
    x = 127,129.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.