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Finding the Third Proportional to 99,351 and 219,437

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Solution

The third proportional to 99,351 and 219,437 is: 484,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,351 : 219,437 = 219,437 : x
  2. Step 2: Convert to fraction form
    99,351/219,437 = 219,437/x
  3. Step 3: Cross multiply
    99,351x = 219,437 × 219,437
  4. Step 4: Simplify right side
    99,351x = 48,152,596,969
  5. Step 5: Solve for x
    x = 48,152,596,969/99,351
  6. Step 6: Final answer
    x = 484,671.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.