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Finding the Third Proportional to 131,424 and 201,078

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Solution

The third proportional to 131,424 and 201,078 is: 307,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,424 : 201,078 = 201,078 : x
  2. Step 2: Convert to fraction form
    131,424/201,078 = 201,078/x
  3. Step 3: Cross multiply
    131,424x = 201,078 × 201,078
  4. Step 4: Simplify right side
    131,424x = 40,432,362,084
  5. Step 5: Solve for x
    x = 40,432,362,084/131,424
  6. Step 6: Final answer
    x = 307,648.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.