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Finding the Third Proportional to 60,766 and 91,989

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Solution

The third proportional to 60,766 and 91,989 is: 139,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,766 : 91,989 = 91,989 : x
  2. Step 2: Convert to fraction form
    60,766/91,989 = 91,989/x
  3. Step 3: Cross multiply
    60,766x = 91,989 × 91,989
  4. Step 4: Simplify right side
    60,766x = 8,461,976,121
  5. Step 5: Solve for x
    x = 8,461,976,121/60,766
  6. Step 6: Final answer
    x = 139,255.11

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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.