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Finding the Third Proportional to 239,311 and 370,505

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Solution

The third proportional to 239,311 and 370,505 is: 573,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,311 : 370,505 = 370,505 : x
  2. Step 2: Convert to fraction form
    239,311/370,505 = 370,505/x
  3. Step 3: Cross multiply
    239,311x = 370,505 × 370,505
  4. Step 4: Simplify right side
    239,311x = 137,273,955,025
  5. Step 5: Solve for x
    x = 137,273,955,025/239,311
  6. Step 6: Final answer
    x = 573,621.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.