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Finding the Third Proportional to 134,107 and 287,686

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Solution

The third proportional to 134,107 and 287,686 is: 617,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,107 : 287,686 = 287,686 : x
  2. Step 2: Convert to fraction form
    134,107/287,686 = 287,686/x
  3. Step 3: Cross multiply
    134,107x = 287,686 × 287,686
  4. Step 4: Simplify right side
    134,107x = 82,763,234,596
  5. Step 5: Solve for x
    x = 82,763,234,596/134,107
  6. Step 6: Final answer
    x = 617,143.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.