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Finding the Third Proportional to 207,627 and 320,778

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Solution

The third proportional to 207,627 and 320,778 is: 495,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,627 : 320,778 = 320,778 : x
  2. Step 2: Convert to fraction form
    207,627/320,778 = 320,778/x
  3. Step 3: Cross multiply
    207,627x = 320,778 × 320,778
  4. Step 4: Simplify right side
    207,627x = 102,898,525,284
  5. Step 5: Solve for x
    x = 102,898,525,284/207,627
  6. Step 6: Final answer
    x = 495,593.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.