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Finding the Third Proportional to 53,221.50 and 115,438.50

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Solution

The third proportional to 53,221.50 and 115,438.50 is: 250,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221.50 : 115,438.50 = 115,438.50 : x
  2. Step 2: Convert to fraction form
    53,221.50/115,438.50 = 115,438.50/x
  3. Step 3: Cross multiply
    53,221.50x = 115,438.50 × 115,438.50
  4. Step 4: Simplify right side
    53,221.50x = 13,326,047,282.25
  5. Step 5: Solve for x
    x = 13,326,047,282.25/53,221.50
  6. Step 6: Final answer
    x = 250,388.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.