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Finding the Third Proportional to 91,722 and 138,507

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Solution

The third proportional to 91,722 and 138,507 is: 209,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,722 : 138,507 = 138,507 : x
  2. Step 2: Convert to fraction form
    91,722/138,507 = 138,507/x
  3. Step 3: Cross multiply
    91,722x = 138,507 × 138,507
  4. Step 4: Simplify right side
    91,722x = 19,184,189,049
  5. Step 5: Solve for x
    x = 19,184,189,049/91,722
  6. Step 6: Final answer
    x = 209,155.81

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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.