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Finding the Third Proportional to 320,301 and 680,110

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Solution

The third proportional to 320,301 and 680,110 is: 1,444,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,301 : 680,110 = 680,110 : x
  2. Step 2: Convert to fraction form
    320,301/680,110 = 680,110/x
  3. Step 3: Cross multiply
    320,301x = 680,110 × 680,110
  4. Step 4: Simplify right side
    320,301x = 462,549,612,100
  5. Step 5: Solve for x
    x = 462,549,612,100/320,301
  6. Step 6: Final answer
    x = 1,444,109.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.