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Finding the Third Proportional to 553,173 and 854,328

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Solution

The third proportional to 553,173 and 854,328 is: 1,319,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,173 : 854,328 = 854,328 : x
  2. Step 2: Convert to fraction form
    553,173/854,328 = 854,328/x
  3. Step 3: Cross multiply
    553,173x = 854,328 × 854,328
  4. Step 4: Simplify right side
    553,173x = 729,876,331,584
  5. Step 5: Solve for x
    x = 729,876,331,584/553,173
  6. Step 6: Final answer
    x = 1,319,435.93

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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.