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Finding the Third Proportional to 553,170 and 854,322

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Solution

The third proportional to 553,170 and 854,322 is: 1,319,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,170 : 854,322 = 854,322 : x
  2. Step 2: Convert to fraction form
    553,170/854,322 = 854,322/x
  3. Step 3: Cross multiply
    553,170x = 854,322 × 854,322
  4. Step 4: Simplify right side
    553,170x = 729,866,079,684
  5. Step 5: Solve for x
    x = 729,866,079,684/553,170
  6. Step 6: Final answer
    x = 1,319,424.55

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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.