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Finding the Third Proportional to 679,101 and 919,005

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Solution

The third proportional to 679,101 and 919,005 is: 1,243,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,101 : 919,005 = 919,005 : x
  2. Step 2: Convert to fraction form
    679,101/919,005 = 919,005/x
  3. Step 3: Cross multiply
    679,101x = 919,005 × 919,005
  4. Step 4: Simplify right side
    679,101x = 844,570,190,025
  5. Step 5: Solve for x
    x = 844,570,190,025/679,101
  6. Step 6: Final answer
    x = 1,243,659.18

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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.