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Finding the Third Proportional to 27,810 and 43,065

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Solution

The third proportional to 27,810 and 43,065 is: 66,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810 : 43,065 = 43,065 : x
  2. Step 2: Convert to fraction form
    27,810/43,065 = 43,065/x
  3. Step 3: Cross multiply
    27,810x = 43,065 × 43,065
  4. Step 4: Simplify right side
    27,810x = 1,854,594,225
  5. Step 5: Solve for x
    x = 1,854,594,225/27,810
  6. Step 6: Final answer
    x = 66,688.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.