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Finding the Third Proportional to 356,805 and 552,108

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Solution

The third proportional to 356,805 and 552,108 is: 854,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,805 : 552,108 = 552,108 : x
  2. Step 2: Convert to fraction form
    356,805/552,108 = 552,108/x
  3. Step 3: Cross multiply
    356,805x = 552,108 × 552,108
  4. Step 4: Simplify right side
    356,805x = 304,823,243,664
  5. Step 5: Solve for x
    x = 304,823,243,664/356,805
  6. Step 6: Final answer
    x = 854,313.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.