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Finding the Third Proportional to 320,577 and 462,009

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Solution

The third proportional to 320,577 and 462,009 is: 665,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577 : 462,009 = 462,009 : x
  2. Step 2: Convert to fraction form
    320,577/462,009 = 462,009/x
  3. Step 3: Cross multiply
    320,577x = 462,009 × 462,009
  4. Step 4: Simplify right side
    320,577x = 213,452,316,081
  5. Step 5: Solve for x
    x = 213,452,316,081/320,577
  6. Step 6: Final answer
    x = 665,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.