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Finding the Third Proportional to 133,078 and 205,124

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Solution

The third proportional to 133,078 and 205,124 is: 316,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 205,124 = 205,124 : x
  2. Step 2: Convert to fraction form
    133,078/205,124 = 205,124/x
  3. Step 3: Cross multiply
    133,078x = 205,124 × 205,124
  4. Step 4: Simplify right side
    133,078x = 42,075,855,376
  5. Step 5: Solve for x
    x = 42,075,855,376/133,078
  6. Step 6: Final answer
    x = 316,174.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.