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Finding the Third Proportional to 100,977 and 221,537

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Solution

The third proportional to 100,977 and 221,537 is: 486,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977 : 221,537 = 221,537 : x
  2. Step 2: Convert to fraction form
    100,977/221,537 = 221,537/x
  3. Step 3: Cross multiply
    100,977x = 221,537 × 221,537
  4. Step 4: Simplify right side
    100,977x = 49,078,642,369
  5. Step 5: Solve for x
    x = 49,078,642,369/100,977
  6. Step 6: Final answer
    x = 486,037.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.