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Finding the Third Proportional to 121,645.50 and 193,710

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Solution

The third proportional to 121,645.50 and 193,710 is: 308,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,645.50 : 193,710 = 193,710 : x
  2. Step 2: Convert to fraction form
    121,645.50/193,710 = 193,710/x
  3. Step 3: Cross multiply
    121,645.50x = 193,710 × 193,710
  4. Step 4: Simplify right side
    121,645.50x = 37,523,564,100
  5. Step 5: Solve for x
    x = 37,523,564,100/121,645.50
  6. Step 6: Final answer
    x = 308,466.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.