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Finding the Third Proportional to 259,175 and 386,764

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Solution

The third proportional to 259,175 and 386,764 is: 577,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,175 : 386,764 = 386,764 : x
  2. Step 2: Convert to fraction form
    259,175/386,764 = 386,764/x
  3. Step 3: Cross multiply
    259,175x = 386,764 × 386,764
  4. Step 4: Simplify right side
    259,175x = 149,586,391,696
  5. Step 5: Solve for x
    x = 149,586,391,696/259,175
  6. Step 6: Final answer
    x = 577,163.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.