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Finding the Third Proportional to 91,684 and 138,133

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Solution

The third proportional to 91,684 and 138,133 is: 208,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,684 : 138,133 = 138,133 : x
  2. Step 2: Convert to fraction form
    91,684/138,133 = 138,133/x
  3. Step 3: Cross multiply
    91,684x = 138,133 × 138,133
  4. Step 4: Simplify right side
    91,684x = 19,080,725,689
  5. Step 5: Solve for x
    x = 19,080,725,689/91,684
  6. Step 6: Final answer
    x = 208,114.02

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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.