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Finding the Third Proportional to 76,588 and 108,916

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Solution

The third proportional to 76,588 and 108,916 is: 154,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,588 : 108,916 = 108,916 : x
  2. Step 2: Convert to fraction form
    76,588/108,916 = 108,916/x
  3. Step 3: Cross multiply
    76,588x = 108,916 × 108,916
  4. Step 4: Simplify right side
    76,588x = 11,862,695,056
  5. Step 5: Solve for x
    x = 11,862,695,056/76,588
  6. Step 6: Final answer
    x = 154,889.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.