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Finding the Third Proportional to 99,564 and 209,334

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Solution

The third proportional to 99,564 and 209,334 is: 440,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564 : 209,334 = 209,334 : x
  2. Step 2: Convert to fraction form
    99,564/209,334 = 209,334/x
  3. Step 3: Cross multiply
    99,564x = 209,334 × 209,334
  4. Step 4: Simplify right side
    99,564x = 43,820,723,556
  5. Step 5: Solve for x
    x = 43,820,723,556/99,564
  6. Step 6: Final answer
    x = 440,126.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.