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Finding the Third Proportional to 66,400 and 141,584

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Solution

The third proportional to 66,400 and 141,584 is: 301,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400 : 141,584 = 141,584 : x
  2. Step 2: Convert to fraction form
    66,400/141,584 = 141,584/x
  3. Step 3: Cross multiply
    66,400x = 141,584 × 141,584
  4. Step 4: Simplify right side
    66,400x = 20,046,029,056
  5. Step 5: Solve for x
    x = 20,046,029,056/66,400
  6. Step 6: Final answer
    x = 301,898.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.