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Finding the Third Proportional to 553,161 and 854,307

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Solution

The third proportional to 553,161 and 854,307 is: 1,319,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,161 : 854,307 = 854,307 : x
  2. Step 2: Convert to fraction form
    553,161/854,307 = 854,307/x
  3. Step 3: Cross multiply
    553,161x = 854,307 × 854,307
  4. Step 4: Simplify right side
    553,161x = 729,840,450,249
  5. Step 5: Solve for x
    x = 729,840,450,249/553,161
  6. Step 6: Final answer
    x = 1,319,399.69

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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.