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Finding the Third Proportional to 137,138 and 207,169

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Solution

The third proportional to 137,138 and 207,169 is: 312,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138 : 207,169 = 207,169 : x
  2. Step 2: Convert to fraction form
    137,138/207,169 = 207,169/x
  3. Step 3: Cross multiply
    137,138x = 207,169 × 207,169
  4. Step 4: Simplify right side
    137,138x = 42,918,994,561
  5. Step 5: Solve for x
    x = 42,918,994,561/137,138
  6. Step 6: Final answer
    x = 312,962.09

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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.