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Finding the Third Proportional to 131,680 and 285,840

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Solution

The third proportional to 131,680 and 285,840 is: 620,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,680 : 285,840 = 285,840 : x
  2. Step 2: Convert to fraction form
    131,680/285,840 = 285,840/x
  3. Step 3: Cross multiply
    131,680x = 285,840 × 285,840
  4. Step 4: Simplify right side
    131,680x = 81,704,505,600
  5. Step 5: Solve for x
    x = 81,704,505,600/131,680
  6. Step 6: Final answer
    x = 620,477.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.