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Finding the Third Proportional to 326,054 and 687,559

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Solution

The third proportional to 326,054 and 687,559 is: 1,449,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,054 : 687,559 = 687,559 : x
  2. Step 2: Convert to fraction form
    326,054/687,559 = 687,559/x
  3. Step 3: Cross multiply
    326,054x = 687,559 × 687,559
  4. Step 4: Simplify right side
    326,054x = 472,737,378,481
  5. Step 5: Solve for x
    x = 472,737,378,481/326,054
  6. Step 6: Final answer
    x = 1,449,874.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.