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Finding the Third Proportional to 259,177 and 386,767

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Solution

The third proportional to 259,177 and 386,767 is: 577,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,177 : 386,767 = 386,767 : x
  2. Step 2: Convert to fraction form
    259,177/386,767 = 386,767/x
  3. Step 3: Cross multiply
    259,177x = 386,767 × 386,767
  4. Step 4: Simplify right side
    259,177x = 149,588,712,289
  5. Step 5: Solve for x
    x = 149,588,712,289/259,177
  6. Step 6: Final answer
    x = 577,168.16

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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.