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Finding the Third Proportional to 679,974 and 920,110

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Solution

The third proportional to 679,974 and 920,110 is: 1,245,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,974 : 920,110 = 920,110 : x
  2. Step 2: Convert to fraction form
    679,974/920,110 = 920,110/x
  3. Step 3: Cross multiply
    679,974x = 920,110 × 920,110
  4. Step 4: Simplify right side
    679,974x = 846,602,412,100
  5. Step 5: Solve for x
    x = 846,602,412,100/679,974
  6. Step 6: Final answer
    x = 1,245,051.15

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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.