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Finding the Third Proportional to 268,618.50 and 419,269.50

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Solution

The third proportional to 268,618.50 and 419,269.50 is: 654,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,618.50 : 419,269.50 = 419,269.50 : x
  2. Step 2: Convert to fraction form
    268,618.50/419,269.50 = 419,269.50/x
  3. Step 3: Cross multiply
    268,618.50x = 419,269.50 × 419,269.50
  4. Step 4: Simplify right side
    268,618.50x = 175,786,913,630.25
  5. Step 5: Solve for x
    x = 175,786,913,630.25/268,618.50
  6. Step 6: Final answer
    x = 654,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.