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Finding the Third Proportional to 40,989 and 61,772

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Solution

The third proportional to 40,989 and 61,772 is: 93,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,989 : 61,772 = 61,772 : x
  2. Step 2: Convert to fraction form
    40,989/61,772 = 61,772/x
  3. Step 3: Cross multiply
    40,989x = 61,772 × 61,772
  4. Step 4: Simplify right side
    40,989x = 3,815,779,984
  5. Step 5: Solve for x
    x = 3,815,779,984/40,989
  6. Step 6: Final answer
    x = 93,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.