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Finding the Third Proportional to 96,400.13 and 214,933.50

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Solution

The third proportional to 96,400.13 and 214,933.50 is: 479,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400.13 : 214,933.50 = 214,933.50 : x
  2. Step 2: Convert to fraction form
    96,400.13/214,933.50 = 214,933.50/x
  3. Step 3: Cross multiply
    96,400.13x = 214,933.50 × 214,933.50
  4. Step 4: Simplify right side
    96,400.13x = 46,196,409,422.25
  5. Step 5: Solve for x
    x = 46,196,409,422.25/96,400.13
  6. Step 6: Final answer
    x = 479,215.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.