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Finding the Third Proportional to 320,429 and 691,521

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Solution

The third proportional to 320,429 and 691,521 is: 1,492,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,429 : 691,521 = 691,521 : x
  2. Step 2: Convert to fraction form
    320,429/691,521 = 691,521/x
  3. Step 3: Cross multiply
    320,429x = 691,521 × 691,521
  4. Step 4: Simplify right side
    320,429x = 478,201,293,441
  5. Step 5: Solve for x
    x = 478,201,293,441/320,429
  6. Step 6: Final answer
    x = 1,492,378.32

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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.