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Finding the Third Proportional to 99,272 and 209,584

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Solution

The third proportional to 99,272 and 209,584 is: 442,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,272 : 209,584 = 209,584 : x
  2. Step 2: Convert to fraction form
    99,272/209,584 = 209,584/x
  3. Step 3: Cross multiply
    99,272x = 209,584 × 209,584
  4. Step 4: Simplify right side
    99,272x = 43,925,453,056
  5. Step 5: Solve for x
    x = 43,925,453,056/99,272
  6. Step 6: Final answer
    x = 442,475.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.