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Finding the Third Proportional to 679,106 and 919,010

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Solution

The third proportional to 679,106 and 919,010 is: 1,243,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,106 : 919,010 = 919,010 : x
  2. Step 2: Convert to fraction form
    679,106/919,010 = 919,010/x
  3. Step 3: Cross multiply
    679,106x = 919,010 × 919,010
  4. Step 4: Simplify right side
    679,106x = 844,579,380,100
  5. Step 5: Solve for x
    x = 844,579,380,100/679,106
  6. Step 6: Final answer
    x = 1,243,663.55

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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.