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Finding the Third Proportional to 137,316 and 207,910

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Solution

The third proportional to 137,316 and 207,910 is: 314,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,316 : 207,910 = 207,910 : x
  2. Step 2: Convert to fraction form
    137,316/207,910 = 207,910/x
  3. Step 3: Cross multiply
    137,316x = 207,910 × 207,910
  4. Step 4: Simplify right side
    137,316x = 43,226,568,100
  5. Step 5: Solve for x
    x = 43,226,568,100/137,316
  6. Step 6: Final answer
    x = 314,796.30

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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.