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Finding the Third Proportional to 121,398.50 and 190,438.50

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Solution

The third proportional to 121,398.50 and 190,438.50 is: 298,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398.50 : 190,438.50 = 190,438.50 : x
  2. Step 2: Convert to fraction form
    121,398.50/190,438.50 = 190,438.50/x
  3. Step 3: Cross multiply
    121,398.50x = 190,438.50 × 190,438.50
  4. Step 4: Simplify right side
    121,398.50x = 36,266,822,282.25
  5. Step 5: Solve for x
    x = 36,266,822,282.25/121,398.50
  6. Step 6: Final answer
    x = 298,741.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.