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Finding the Third Proportional to 213,472.13 and 321,608.81

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Solution

The third proportional to 213,472.13 and 321,608.81 is: 484,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,472.13 : 321,608.81 = 321,608.81 : x
  2. Step 2: Convert to fraction form
    213,472.13/321,608.81 = 321,608.81/x
  3. Step 3: Cross multiply
    213,472.13x = 321,608.81 × 321,608.81
  4. Step 4: Simplify right side
    213,472.13x = 103,432,228,277.66
  5. Step 5: Solve for x
    x = 103,432,228,277.66/213,472.13
  6. Step 6: Final answer
    x = 484,523.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.