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Finding the Third Proportional to 517,872 and 699,684

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Solution

The third proportional to 517,872 and 699,684 is: 945,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,872 : 699,684 = 699,684 : x
  2. Step 2: Convert to fraction form
    517,872/699,684 = 699,684/x
  3. Step 3: Cross multiply
    517,872x = 699,684 × 699,684
  4. Step 4: Simplify right side
    517,872x = 489,557,699,856
  5. Step 5: Solve for x
    x = 489,557,699,856/517,872
  6. Step 6: Final answer
    x = 945,325.68

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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.