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Finding the Third Proportional to 389,670 and 600,920

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Solution

The third proportional to 389,670 and 600,920 is: 926,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,670 : 600,920 = 600,920 : x
  2. Step 2: Convert to fraction form
    389,670/600,920 = 600,920/x
  3. Step 3: Cross multiply
    389,670x = 600,920 × 600,920
  4. Step 4: Simplify right side
    389,670x = 361,104,846,400
  5. Step 5: Solve for x
    x = 361,104,846,400/389,670
  6. Step 6: Final answer
    x = 926,693.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.