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Finding the Third Proportional to 320,548 and 685,566

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Solution

The third proportional to 320,548 and 685,566 is: 1,466,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,548 : 685,566 = 685,566 : x
  2. Step 2: Convert to fraction form
    320,548/685,566 = 685,566/x
  3. Step 3: Cross multiply
    320,548x = 685,566 × 685,566
  4. Step 4: Simplify right side
    320,548x = 470,000,740,356
  5. Step 5: Solve for x
    x = 470,000,740,356/320,548
  6. Step 6: Final answer
    x = 1,466,241.38

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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.