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Finding the Third Proportional to 561,056 and 847,408

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Solution

The third proportional to 561,056 and 847,408 is: 1,279,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,056 : 847,408 = 847,408 : x
  2. Step 2: Convert to fraction form
    561,056/847,408 = 847,408/x
  3. Step 3: Cross multiply
    561,056x = 847,408 × 847,408
  4. Step 4: Simplify right side
    561,056x = 718,100,318,464
  5. Step 5: Solve for x
    x = 718,100,318,464/561,056
  6. Step 6: Final answer
    x = 1,279,908.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.