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Finding the Third Proportional to 101,173 and 218,981

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Solution

The third proportional to 101,173 and 218,981 is: 473,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,173 : 218,981 = 218,981 : x
  2. Step 2: Convert to fraction form
    101,173/218,981 = 218,981/x
  3. Step 3: Cross multiply
    101,173x = 218,981 × 218,981
  4. Step 4: Simplify right side
    101,173x = 47,952,678,361
  5. Step 5: Solve for x
    x = 47,952,678,361/101,173
  6. Step 6: Final answer
    x = 473,967.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.