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Finding the Third Proportional to 320,985 and 693,810

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Solution

The third proportional to 320,985 and 693,810 is: 1,499,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,985 : 693,810 = 693,810 : x
  2. Step 2: Convert to fraction form
    320,985/693,810 = 693,810/x
  3. Step 3: Cross multiply
    320,985x = 693,810 × 693,810
  4. Step 4: Simplify right side
    320,985x = 481,372,316,100
  5. Step 5: Solve for x
    x = 481,372,316,100/320,985
  6. Step 6: Final answer
    x = 1,499,672.31

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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.