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Finding the Third Proportional to 137,136 and 207,166

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Solution

The third proportional to 137,136 and 207,166 is: 312,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,136 : 207,166 = 207,166 : x
  2. Step 2: Convert to fraction form
    137,136/207,166 = 207,166/x
  3. Step 3: Cross multiply
    137,136x = 207,166 × 207,166
  4. Step 4: Simplify right side
    137,136x = 42,917,751,556
  5. Step 5: Solve for x
    x = 42,917,751,556/137,136
  6. Step 6: Final answer
    x = 312,957.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.