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Finding the Third Proportional to 393,691.50 and 610,769.25

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Solution

The third proportional to 393,691.50 and 610,769.25 is: 947,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,691.50 : 610,769.25 = 610,769.25 : x
  2. Step 2: Convert to fraction form
    393,691.50/610,769.25 = 610,769.25/x
  3. Step 3: Cross multiply
    393,691.50x = 610,769.25 × 610,769.25
  4. Step 4: Simplify right side
    393,691.50x = 373,039,076,745.56
  5. Step 5: Solve for x
    x = 373,039,076,745.56/393,691.50
  6. Step 6: Final answer
    x = 947,541.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.