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Finding the Third Proportional to 100,963.13 and 218,642.63

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Solution

The third proportional to 100,963.13 and 218,642.63 is: 473,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.13 : 218,642.63 = 218,642.63 : x
  2. Step 2: Convert to fraction form
    100,963.13/218,642.63 = 218,642.63/x
  3. Step 3: Cross multiply
    100,963.13x = 218,642.63 × 218,642.63
  4. Step 4: Simplify right side
    100,963.13x = 47,804,597,466.89
  5. Step 5: Solve for x
    x = 47,804,597,466.89/100,963.13
  6. Step 6: Final answer
    x = 473,485.72

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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.