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Finding the Third Proportional to 437,496 and 685,408

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Solution

The third proportional to 437,496 and 685,408 is: 1,073,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,496 : 685,408 = 685,408 : x
  2. Step 2: Convert to fraction form
    437,496/685,408 = 685,408/x
  3. Step 3: Cross multiply
    437,496x = 685,408 × 685,408
  4. Step 4: Simplify right side
    437,496x = 469,784,126,464
  5. Step 5: Solve for x
    x = 469,784,126,464/437,496
  6. Step 6: Final answer
    x = 1,073,802.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.