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Finding the Third Proportional to 99,476 and 140,621

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Solution

The third proportional to 99,476 and 140,621 is: 198,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,476 : 140,621 = 140,621 : x
  2. Step 2: Convert to fraction form
    99,476/140,621 = 140,621/x
  3. Step 3: Cross multiply
    99,476x = 140,621 × 140,621
  4. Step 4: Simplify right side
    99,476x = 19,774,265,641
  5. Step 5: Solve for x
    x = 19,774,265,641/99,476
  6. Step 6: Final answer
    x = 198,784.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.