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Finding the Third Proportional to 91,421 and 138,896

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Solution

The third proportional to 91,421 and 138,896 is: 211,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,421 : 138,896 = 138,896 : x
  2. Step 2: Convert to fraction form
    91,421/138,896 = 138,896/x
  3. Step 3: Cross multiply
    91,421x = 138,896 × 138,896
  4. Step 4: Simplify right side
    91,421x = 19,292,098,816
  5. Step 5: Solve for x
    x = 19,292,098,816/91,421
  6. Step 6: Final answer
    x = 211,024.81

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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.