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Finding the Third Proportional to 92,214 and 142,414.50

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Solution

The third proportional to 92,214 and 142,414.50 is: 219,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,214 : 142,414.50 = 142,414.50 : x
  2. Step 2: Convert to fraction form
    92,214/142,414.50 = 142,414.50/x
  3. Step 3: Cross multiply
    92,214x = 142,414.50 × 142,414.50
  4. Step 4: Simplify right side
    92,214x = 20,281,889,810.25
  5. Step 5: Solve for x
    x = 20,281,889,810.25/92,214
  6. Step 6: Final answer
    x = 219,943.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.