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Finding the Third Proportional to 100,963.75 and 218,642.75

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Solution

The third proportional to 100,963.75 and 218,642.75 is: 473,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.75 : 218,642.75 = 218,642.75 : x
  2. Step 2: Convert to fraction form
    100,963.75/218,642.75 = 218,642.75/x
  3. Step 3: Cross multiply
    100,963.75x = 218,642.75 × 218,642.75
  4. Step 4: Simplify right side
    100,963.75x = 47,804,652,127.56
  5. Step 5: Solve for x
    x = 47,804,652,127.56/100,963.75
  6. Step 6: Final answer
    x = 473,483.33

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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.