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Finding the Third Proportional to 679,122 and 919,034

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Solution

The third proportional to 679,122 and 919,034 is: 1,243,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,122 : 919,034 = 919,034 : x
  2. Step 2: Convert to fraction form
    679,122/919,034 = 919,034/x
  3. Step 3: Cross multiply
    679,122x = 919,034 × 919,034
  4. Step 4: Simplify right side
    679,122x = 844,623,493,156
  5. Step 5: Solve for x
    x = 844,623,493,156/679,122
  6. Step 6: Final answer
    x = 1,243,699.21

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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.