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Finding the Third Proportional to 320,533 and 685,534

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Solution

The third proportional to 320,533 and 685,534 is: 1,466,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,533 : 685,534 = 685,534 : x
  2. Step 2: Convert to fraction form
    320,533/685,534 = 685,534/x
  3. Step 3: Cross multiply
    320,533x = 685,534 × 685,534
  4. Step 4: Simplify right side
    320,533x = 469,956,865,156
  5. Step 5: Solve for x
    x = 469,956,865,156/320,533
  6. Step 6: Final answer
    x = 1,466,173.11

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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.