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Finding the Third Proportional to 99,152 and 138,684

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Solution

The third proportional to 99,152 and 138,684 is: 193,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,152 : 138,684 = 138,684 : x
  2. Step 2: Convert to fraction form
    99,152/138,684 = 138,684/x
  3. Step 3: Cross multiply
    99,152x = 138,684 × 138,684
  4. Step 4: Simplify right side
    99,152x = 19,233,251,856
  5. Step 5: Solve for x
    x = 19,233,251,856/99,152
  6. Step 6: Final answer
    x = 193,977.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.