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Finding the Third Proportional to 91,116 and 138,518

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Solution

The third proportional to 91,116 and 138,518 is: 210,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,116 : 138,518 = 138,518 : x
  2. Step 2: Convert to fraction form
    91,116/138,518 = 138,518/x
  3. Step 3: Cross multiply
    91,116x = 138,518 × 138,518
  4. Step 4: Simplify right side
    91,116x = 19,187,236,324
  5. Step 5: Solve for x
    x = 19,187,236,324/91,116
  6. Step 6: Final answer
    x = 210,580.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.