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Finding the Third Proportional to 91,173 and 138,017

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Solution

The third proportional to 91,173 and 138,017 is: 208,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173 : 138,017 = 138,017 : x
  2. Step 2: Convert to fraction form
    91,173/138,017 = 138,017/x
  3. Step 3: Cross multiply
    91,173x = 138,017 × 138,017
  4. Step 4: Simplify right side
    91,173x = 19,048,692,289
  5. Step 5: Solve for x
    x = 19,048,692,289/91,173
  6. Step 6: Final answer
    x = 208,929.09

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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.