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Finding the Third Proportional to 679,976 and 920,113

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Solution

The third proportional to 679,976 and 920,113 is: 1,245,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,976 : 920,113 = 920,113 : x
  2. Step 2: Convert to fraction form
    679,976/920,113 = 920,113/x
  3. Step 3: Cross multiply
    679,976x = 920,113 × 920,113
  4. Step 4: Simplify right side
    679,976x = 846,607,932,769
  5. Step 5: Solve for x
    x = 846,607,932,769/679,976
  6. Step 6: Final answer
    x = 1,245,055.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.