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Finding the Third Proportional to 320,920 and 695,353

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Solution

The third proportional to 320,920 and 695,353 is: 1,506,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,920 : 695,353 = 695,353 : x
  2. Step 2: Convert to fraction form
    320,920/695,353 = 695,353/x
  3. Step 3: Cross multiply
    320,920x = 695,353 × 695,353
  4. Step 4: Simplify right side
    320,920x = 483,515,794,609
  5. Step 5: Solve for x
    x = 483,515,794,609/320,920
  6. Step 6: Final answer
    x = 1,506,655.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.