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Finding the Third Proportional to 63,218.90 and 135,455.18

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Solution

The third proportional to 63,218.90 and 135,455.18 is: 290,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,218.90 : 135,455.18 = 135,455.18 : x
  2. Step 2: Convert to fraction form
    63,218.90/135,455.18 = 135,455.18/x
  3. Step 3: Cross multiply
    63,218.90x = 135,455.18 × 135,455.18
  4. Step 4: Simplify right side
    63,218.90x = 18,348,104,910.49
  5. Step 5: Solve for x
    x = 18,348,104,910.49/63,218.90
  6. Step 6: Final answer
    x = 290,231.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.