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Finding the Third Proportional to 286,240 and 376,512

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Solution

The third proportional to 286,240 and 376,512 is: 495,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,240 : 376,512 = 376,512 : x
  2. Step 2: Convert to fraction form
    286,240/376,512 = 376,512/x
  3. Step 3: Cross multiply
    286,240x = 376,512 × 376,512
  4. Step 4: Simplify right side
    286,240x = 141,761,286,144
  5. Step 5: Solve for x
    x = 141,761,286,144/286,240
  6. Step 6: Final answer
    x = 495,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.