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Finding the Third Proportional to 557,456 and 841,408

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Solution

The third proportional to 557,456 and 841,408 is: 1,269,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,456 : 841,408 = 841,408 : x
  2. Step 2: Convert to fraction form
    557,456/841,408 = 841,408/x
  3. Step 3: Cross multiply
    557,456x = 841,408 × 841,408
  4. Step 4: Simplify right side
    557,456x = 707,967,422,464
  5. Step 5: Solve for x
    x = 707,967,422,464/557,456
  6. Step 6: Final answer
    x = 1,269,996.95

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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.