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Finding the Third Proportional to 320,566 and 685,602

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Solution

The third proportional to 320,566 and 685,602 is: 1,466,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,566 : 685,602 = 685,602 : x
  2. Step 2: Convert to fraction form
    320,566/685,602 = 685,602/x
  3. Step 3: Cross multiply
    320,566x = 685,602 × 685,602
  4. Step 4: Simplify right side
    320,566x = 470,050,102,404
  5. Step 5: Solve for x
    x = 470,050,102,404/320,566
  6. Step 6: Final answer
    x = 1,466,313.03

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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.