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Finding the Third Proportional to 69,136 and 141,190

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Solution

The third proportional to 69,136 and 141,190 is: 288,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,136 : 141,190 = 141,190 : x
  2. Step 2: Convert to fraction form
    69,136/141,190 = 141,190/x
  3. Step 3: Cross multiply
    69,136x = 141,190 × 141,190
  4. Step 4: Simplify right side
    69,136x = 19,934,616,100
  5. Step 5: Solve for x
    x = 19,934,616,100/69,136
  6. Step 6: Final answer
    x = 288,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.