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Finding the Third Proportional to 219,580 and 320,999

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Solution

The third proportional to 219,580 and 320,999 is: 469,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,580 : 320,999 = 320,999 : x
  2. Step 2: Convert to fraction form
    219,580/320,999 = 320,999/x
  3. Step 3: Cross multiply
    219,580x = 320,999 × 320,999
  4. Step 4: Simplify right side
    219,580x = 103,040,358,001
  5. Step 5: Solve for x
    x = 103,040,358,001/219,580
  6. Step 6: Final answer
    x = 469,261.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.