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Finding the Third Proportional to 309,058 and 467,920

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Solution

The third proportional to 309,058 and 467,920 is: 708,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,058 : 467,920 = 467,920 : x
  2. Step 2: Convert to fraction form
    309,058/467,920 = 467,920/x
  3. Step 3: Cross multiply
    309,058x = 467,920 × 467,920
  4. Step 4: Simplify right side
    309,058x = 218,949,126,400
  5. Step 5: Solve for x
    x = 218,949,126,400/309,058
  6. Step 6: Final answer
    x = 708,440.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.