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Finding the Third Proportional to 40,411.25 and 87,734.50

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Solution

The third proportional to 40,411.25 and 87,734.50 is: 190,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,411.25 : 87,734.50 = 87,734.50 : x
  2. Step 2: Convert to fraction form
    40,411.25/87,734.50 = 87,734.50/x
  3. Step 3: Cross multiply
    40,411.25x = 87,734.50 × 87,734.50
  4. Step 4: Simplify right side
    40,411.25x = 7,697,342,490.25
  5. Step 5: Solve for x
    x = 7,697,342,490.25/40,411.25
  6. Step 6: Final answer
    x = 190,475.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.