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Finding the Third Proportional to 239,586 and 370,920

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Solution

The third proportional to 239,586 and 370,920 is: 574,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,586 : 370,920 = 370,920 : x
  2. Step 2: Convert to fraction form
    239,586/370,920 = 370,920/x
  3. Step 3: Cross multiply
    239,586x = 370,920 × 370,920
  4. Step 4: Simplify right side
    239,586x = 137,581,646,400
  5. Step 5: Solve for x
    x = 137,581,646,400/239,586
  6. Step 6: Final answer
    x = 574,247.44

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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.