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Finding the Third Proportional to 553,162 and 854,309

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Solution

The third proportional to 553,162 and 854,309 is: 1,319,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,162 : 854,309 = 854,309 : x
  2. Step 2: Convert to fraction form
    553,162/854,309 = 854,309/x
  3. Step 3: Cross multiply
    553,162x = 854,309 × 854,309
  4. Step 4: Simplify right side
    553,162x = 729,843,867,481
  5. Step 5: Solve for x
    x = 729,843,867,481/553,162
  6. Step 6: Final answer
    x = 1,319,403.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.