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Finding the Third Proportional to 127,735 and 193,369.50

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Solution

The third proportional to 127,735 and 193,369.50 is: 292,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,735 : 193,369.50 = 193,369.50 : x
  2. Step 2: Convert to fraction form
    127,735/193,369.50 = 193,369.50/x
  3. Step 3: Cross multiply
    127,735x = 193,369.50 × 193,369.50
  4. Step 4: Simplify right side
    127,735x = 37,391,763,530.25
  5. Step 5: Solve for x
    x = 37,391,763,530.25/127,735
  6. Step 6: Final answer
    x = 292,729.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.