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Finding the Third Proportional to 219,075 and 242,115

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Solution

The third proportional to 219,075 and 242,115 is: 267,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,075 : 242,115 = 242,115 : x
  2. Step 2: Convert to fraction form
    219,075/242,115 = 242,115/x
  3. Step 3: Cross multiply
    219,075x = 242,115 × 242,115
  4. Step 4: Simplify right side
    219,075x = 58,619,673,225
  5. Step 5: Solve for x
    x = 58,619,673,225/219,075
  6. Step 6: Final answer
    x = 267,578.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.