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Finding the Third Proportional to 109,737 and 147,109.50

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Solution

The third proportional to 109,737 and 147,109.50 is: 197,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737 : 147,109.50 = 147,109.50 : x
  2. Step 2: Convert to fraction form
    109,737/147,109.50 = 147,109.50/x
  3. Step 3: Cross multiply
    109,737x = 147,109.50 × 147,109.50
  4. Step 4: Simplify right side
    109,737x = 21,641,204,990.25
  5. Step 5: Solve for x
    x = 21,641,204,990.25/109,737
  6. Step 6: Final answer
    x = 197,209.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.