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Finding the Third Proportional to 155,025 and 340,542

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Solution

The third proportional to 155,025 and 340,542 is: 748,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,025 : 340,542 = 340,542 : x
  2. Step 2: Convert to fraction form
    155,025/340,542 = 340,542/x
  3. Step 3: Cross multiply
    155,025x = 340,542 × 340,542
  4. Step 4: Simplify right side
    155,025x = 115,968,853,764
  5. Step 5: Solve for x
    x = 115,968,853,764/155,025
  6. Step 6: Final answer
    x = 748,065.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.