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Finding the Third Proportional to 260,563.50 and 378,970.50

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Solution

The third proportional to 260,563.50 and 378,970.50 is: 551,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,563.50 : 378,970.50 = 378,970.50 : x
  2. Step 2: Convert to fraction form
    260,563.50/378,970.50 = 378,970.50/x
  3. Step 3: Cross multiply
    260,563.50x = 378,970.50 × 378,970.50
  4. Step 4: Simplify right side
    260,563.50x = 143,618,639,870.25
  5. Step 5: Solve for x
    x = 143,618,639,870.25/260,563.50
  6. Step 6: Final answer
    x = 551,184.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.