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Finding the Third Proportional to 100,973 and 221,529

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Solution

The third proportional to 100,973 and 221,529 is: 486,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,973 : 221,529 = 221,529 : x
  2. Step 2: Convert to fraction form
    100,973/221,529 = 221,529/x
  3. Step 3: Cross multiply
    100,973x = 221,529 × 221,529
  4. Step 4: Simplify right side
    100,973x = 49,075,097,841
  5. Step 5: Solve for x
    x = 49,075,097,841/100,973
  6. Step 6: Final answer
    x = 486,021.98

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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.