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Finding the Third Proportional to 28,785 and 67,853

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Solution

The third proportional to 28,785 and 67,853 is: 159,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,785 : 67,853 = 67,853 : x
  2. Step 2: Convert to fraction form
    28,785/67,853 = 67,853/x
  3. Step 3: Cross multiply
    28,785x = 67,853 × 67,853
  4. Step 4: Simplify right side
    28,785x = 4,604,029,609
  5. Step 5: Solve for x
    x = 4,604,029,609/28,785
  6. Step 6: Final answer
    x = 159,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.