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Finding the Third Proportional to 137,318 and 207,913

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Solution

The third proportional to 137,318 and 207,913 is: 314,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,318 : 207,913 = 207,913 : x
  2. Step 2: Convert to fraction form
    137,318/207,913 = 207,913/x
  3. Step 3: Cross multiply
    137,318x = 207,913 × 207,913
  4. Step 4: Simplify right side
    137,318x = 43,227,815,569
  5. Step 5: Solve for x
    x = 43,227,815,569/137,318
  6. Step 6: Final answer
    x = 314,800.80

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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.