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Finding the Third Proportional to 99,156 and 159,621

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Solution

The third proportional to 99,156 and 159,621 is: 256,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,156 : 159,621 = 159,621 : x
  2. Step 2: Convert to fraction form
    99,156/159,621 = 159,621/x
  3. Step 3: Cross multiply
    99,156x = 159,621 × 159,621
  4. Step 4: Simplify right side
    99,156x = 25,478,863,641
  5. Step 5: Solve for x
    x = 25,478,863,641/99,156
  6. Step 6: Final answer
    x = 256,957.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.