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Finding the Third Proportional to 136,617 and 207,693

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Solution

The third proportional to 136,617 and 207,693 is: 315,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,617 : 207,693 = 207,693 : x
  2. Step 2: Convert to fraction form
    136,617/207,693 = 207,693/x
  3. Step 3: Cross multiply
    136,617x = 207,693 × 207,693
  4. Step 4: Simplify right side
    136,617x = 43,136,382,249
  5. Step 5: Solve for x
    x = 43,136,382,249/136,617
  6. Step 6: Final answer
    x = 315,746.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.