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Finding the Third Proportional to 262,428.75 and 393,574.88

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Solution

The third proportional to 262,428.75 and 393,574.88 is: 590,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.75 : 393,574.88 = 393,574.88 : x
  2. Step 2: Convert to fraction form
    262,428.75/393,574.88 = 393,574.88/x
  3. Step 3: Cross multiply
    262,428.75x = 393,574.88 × 393,574.88
  4. Step 4: Simplify right side
    262,428.75x = 154,901,182,231.27
  5. Step 5: Solve for x
    x = 154,901,182,231.27/262,428.75
  6. Step 6: Final answer
    x = 590,259.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.