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Finding the Third Proportional to 320,435 and 691,533

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Solution

The third proportional to 320,435 and 691,533 is: 1,492,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,435 : 691,533 = 691,533 : x
  2. Step 2: Convert to fraction form
    320,435/691,533 = 691,533/x
  3. Step 3: Cross multiply
    320,435x = 691,533 × 691,533
  4. Step 4: Simplify right side
    320,435x = 478,217,890,089
  5. Step 5: Solve for x
    x = 478,217,890,089/320,435
  6. Step 6: Final answer
    x = 1,492,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.