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Finding the Third Proportional to 320,552 and 685,574

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Solution

The third proportional to 320,552 and 685,574 is: 1,466,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,552 : 685,574 = 685,574 : x
  2. Step 2: Convert to fraction form
    320,552/685,574 = 685,574/x
  3. Step 3: Cross multiply
    320,552x = 685,574 × 685,574
  4. Step 4: Simplify right side
    320,552x = 470,011,709,476
  5. Step 5: Solve for x
    x = 470,011,709,476/320,552
  6. Step 6: Final answer
    x = 1,466,257.30

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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.