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Finding the Third Proportional to 127,740 and 193,378.50

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Solution

The third proportional to 127,740 and 193,378.50 is: 292,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,740 : 193,378.50 = 193,378.50 : x
  2. Step 2: Convert to fraction form
    127,740/193,378.50 = 193,378.50/x
  3. Step 3: Cross multiply
    127,740x = 193,378.50 × 193,378.50
  4. Step 4: Simplify right side
    127,740x = 37,395,244,262.25
  5. Step 5: Solve for x
    x = 37,395,244,262.25/127,740
  6. Step 6: Final answer
    x = 292,744.98

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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.