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Finding the Third Proportional to 100,971 and 221,526

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Solution

The third proportional to 100,971 and 221,526 is: 486,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 221,526 = 221,526 : x
  2. Step 2: Convert to fraction form
    100,971/221,526 = 221,526/x
  3. Step 3: Cross multiply
    100,971x = 221,526 × 221,526
  4. Step 4: Simplify right side
    100,971x = 49,073,768,676
  5. Step 5: Solve for x
    x = 49,073,768,676/100,971
  6. Step 6: Final answer
    x = 486,018.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.