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Finding the Third Proportional to 657,978 and 891,600

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Solution

The third proportional to 657,978 and 891,600 is: 1,208,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,978 : 891,600 = 891,600 : x
  2. Step 2: Convert to fraction form
    657,978/891,600 = 891,600/x
  3. Step 3: Cross multiply
    657,978x = 891,600 × 891,600
  4. Step 4: Simplify right side
    657,978x = 794,950,560,000
  5. Step 5: Solve for x
    x = 794,950,560,000/657,978
  6. Step 6: Final answer
    x = 1,208,171.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.