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Finding the Third Proportional to 99,135 and 207,963

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Solution

The third proportional to 99,135 and 207,963 is: 436,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135 : 207,963 = 207,963 : x
  2. Step 2: Convert to fraction form
    99,135/207,963 = 207,963/x
  3. Step 3: Cross multiply
    99,135x = 207,963 × 207,963
  4. Step 4: Simplify right side
    99,135x = 43,248,609,369
  5. Step 5: Solve for x
    x = 43,248,609,369/99,135
  6. Step 6: Final answer
    x = 436,259.74

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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.