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Finding the Third Proportional to 121,830.75 and 194,410.13

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Solution

The third proportional to 121,830.75 and 194,410.13 is: 310,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830.75 : 194,410.13 = 194,410.13 : x
  2. Step 2: Convert to fraction form
    121,830.75/194,410.13 = 194,410.13/x
  3. Step 3: Cross multiply
    121,830.75x = 194,410.13 × 194,410.13
  4. Step 4: Simplify right side
    121,830.75x = 37,795,296,702.52
  5. Step 5: Solve for x
    x = 37,795,296,702.52/121,830.75
  6. Step 6: Final answer
    x = 310,227.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.