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Finding the Third Proportional to 395,720.50 and 805,414.50

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Solution

The third proportional to 395,720.50 and 805,414.50 is: 1,639,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,720.50 : 805,414.50 = 805,414.50 : x
  2. Step 2: Convert to fraction form
    395,720.50/805,414.50 = 805,414.50/x
  3. Step 3: Cross multiply
    395,720.50x = 805,414.50 × 805,414.50
  4. Step 4: Simplify right side
    395,720.50x = 648,692,516,810.25
  5. Step 5: Solve for x
    x = 648,692,516,810.25/395,720.50
  6. Step 6: Final answer
    x = 1,639,269.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.