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Finding the Third Proportional to 137,970 and 207,762

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Solution

The third proportional to 137,970 and 207,762 is: 312,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,970 : 207,762 = 207,762 : x
  2. Step 2: Convert to fraction form
    137,970/207,762 = 207,762/x
  3. Step 3: Cross multiply
    137,970x = 207,762 × 207,762
  4. Step 4: Simplify right side
    137,970x = 43,165,048,644
  5. Step 5: Solve for x
    x = 43,165,048,644/137,970
  6. Step 6: Final answer
    x = 312,858.22

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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.