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Finding the Third Proportional to 260,724 and 393,853.50

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Solution

The third proportional to 260,724 and 393,853.50 is: 594,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,724 : 393,853.50 = 393,853.50 : x
  2. Step 2: Convert to fraction form
    260,724/393,853.50 = 393,853.50/x
  3. Step 3: Cross multiply
    260,724x = 393,853.50 × 393,853.50
  4. Step 4: Simplify right side
    260,724x = 155,120,579,462.25
  5. Step 5: Solve for x
    x = 155,120,579,462.25/260,724
  6. Step 6: Final answer
    x = 594,960.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.