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Finding the Third Proportional to 553,229 and 854,408

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Solution

The third proportional to 553,229 and 854,408 is: 1,319,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,229 : 854,408 = 854,408 : x
  2. Step 2: Convert to fraction form
    553,229/854,408 = 854,408/x
  3. Step 3: Cross multiply
    553,229x = 854,408 × 854,408
  4. Step 4: Simplify right side
    553,229x = 730,013,030,464
  5. Step 5: Solve for x
    x = 730,013,030,464/553,229
  6. Step 6: Final answer
    x = 1,319,549.46

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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.