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Finding the Third Proportional to 63,410.50 and 94,942.50

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Solution

The third proportional to 63,410.50 and 94,942.50 is: 142,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,410.50 : 94,942.50 = 94,942.50 : x
  2. Step 2: Convert to fraction form
    63,410.50/94,942.50 = 94,942.50/x
  3. Step 3: Cross multiply
    63,410.50x = 94,942.50 × 94,942.50
  4. Step 4: Simplify right side
    63,410.50x = 9,014,078,306.25
  5. Step 5: Solve for x
    x = 9,014,078,306.25/63,410.50
  6. Step 6: Final answer
    x = 142,154.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.