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Finding the Third Proportional to 137,120 and 207,141

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Solution

The third proportional to 137,120 and 207,141 is: 312,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120 : 207,141 = 207,141 : x
  2. Step 2: Convert to fraction form
    137,120/207,141 = 207,141/x
  3. Step 3: Cross multiply
    137,120x = 207,141 × 207,141
  4. Step 4: Simplify right side
    137,120x = 42,907,393,881
  5. Step 5: Solve for x
    x = 42,907,393,881/137,120
  6. Step 6: Final answer
    x = 312,918.57

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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.