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Finding the Third Proportional to 137,111 and 207,125

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Solution

The third proportional to 137,111 and 207,125 is: 312,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,111 : 207,125 = 207,125 : x
  2. Step 2: Convert to fraction form
    137,111/207,125 = 207,125/x
  3. Step 3: Cross multiply
    137,111x = 207,125 × 207,125
  4. Step 4: Simplify right side
    137,111x = 42,900,765,625
  5. Step 5: Solve for x
    x = 42,900,765,625/137,111
  6. Step 6: Final answer
    x = 312,890.76

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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.