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Finding the Third Proportional to 99,564 and 208,348

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Solution

The third proportional to 99,564 and 208,348 is: 435,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564 : 208,348 = 208,348 : x
  2. Step 2: Convert to fraction form
    99,564/208,348 = 208,348/x
  3. Step 3: Cross multiply
    99,564x = 208,348 × 208,348
  4. Step 4: Simplify right side
    99,564x = 43,408,889,104
  5. Step 5: Solve for x
    x = 43,408,889,104/99,564
  6. Step 6: Final answer
    x = 435,989.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.