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Finding the Third Proportional to 219,489.75 and 320,851.13

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Solution

The third proportional to 219,489.75 and 320,851.13 is: 469,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,489.75 : 320,851.13 = 320,851.13 : x
  2. Step 2: Convert to fraction form
    219,489.75/320,851.13 = 320,851.13/x
  3. Step 3: Cross multiply
    219,489.75x = 320,851.13 × 320,851.13
  4. Step 4: Simplify right side
    219,489.75x = 102,945,444,413.77
  5. Step 5: Solve for x
    x = 102,945,444,413.77/219,489.75
  6. Step 6: Final answer
    x = 469,021.65

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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.