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Finding the Third Proportional to 63,969.75 and 135,320.63

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Solution

The third proportional to 63,969.75 and 135,320.63 is: 286,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,969.75 : 135,320.63 = 135,320.63 : x
  2. Step 2: Convert to fraction form
    63,969.75/135,320.63 = 135,320.63/x
  3. Step 3: Cross multiply
    63,969.75x = 135,320.63 × 135,320.63
  4. Step 4: Simplify right side
    63,969.75x = 18,311,671,550.39
  5. Step 5: Solve for x
    x = 18,311,671,550.39/63,969.75
  6. Step 6: Final answer
    x = 286,255.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.