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Finding the Third Proportional to 680,769 and 903,051

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Solution

The third proportional to 680,769 and 903,051 is: 1,197,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,769 : 903,051 = 903,051 : x
  2. Step 2: Convert to fraction form
    680,769/903,051 = 903,051/x
  3. Step 3: Cross multiply
    680,769x = 903,051 × 903,051
  4. Step 4: Simplify right side
    680,769x = 815,501,108,601
  5. Step 5: Solve for x
    x = 815,501,108,601/680,769
  6. Step 6: Final answer
    x = 1,197,911.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.