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Finding the Third Proportional to 320,544 and 685,557

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Solution

The third proportional to 320,544 and 685,557 is: 1,466,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,544 : 685,557 = 685,557 : x
  2. Step 2: Convert to fraction form
    320,544/685,557 = 685,557/x
  3. Step 3: Cross multiply
    320,544x = 685,557 × 685,557
  4. Step 4: Simplify right side
    320,544x = 469,988,400,249
  5. Step 5: Solve for x
    x = 469,988,400,249/320,544
  6. Step 6: Final answer
    x = 1,466,221.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.