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Finding the Third Proportional to 99,860 and 217,354

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Solution

The third proportional to 99,860 and 217,354 is: 473,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,860 : 217,354 = 217,354 : x
  2. Step 2: Convert to fraction form
    99,860/217,354 = 217,354/x
  3. Step 3: Cross multiply
    99,860x = 217,354 × 217,354
  4. Step 4: Simplify right side
    99,860x = 47,242,761,316
  5. Step 5: Solve for x
    x = 47,242,761,316/99,860
  6. Step 6: Final answer
    x = 473,089.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.