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Finding the Third Proportional to 679,975 and 920,111

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Solution

The third proportional to 679,975 and 920,111 is: 1,245,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,975 : 920,111 = 920,111 : x
  2. Step 2: Convert to fraction form
    679,975/920,111 = 920,111/x
  3. Step 3: Cross multiply
    679,975x = 920,111 × 920,111
  4. Step 4: Simplify right side
    679,975x = 846,604,252,321
  5. Step 5: Solve for x
    x = 846,604,252,321/679,975
  6. Step 6: Final answer
    x = 1,245,052.03

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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.