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Finding the Third Proportional to 137,319 and 207,914

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Solution

The third proportional to 137,319 and 207,914 is: 314,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,319 : 207,914 = 207,914 : x
  2. Step 2: Convert to fraction form
    137,319/207,914 = 207,914/x
  3. Step 3: Cross multiply
    137,319x = 207,914 × 207,914
  4. Step 4: Simplify right side
    137,319x = 43,228,231,396
  5. Step 5: Solve for x
    x = 43,228,231,396/137,319
  6. Step 6: Final answer
    x = 314,801.53

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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.