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Finding the Third Proportional to 356,601 and 553,945

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Solution

The third proportional to 356,601 and 553,945 is: 860,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,601 : 553,945 = 553,945 : x
  2. Step 2: Convert to fraction form
    356,601/553,945 = 553,945/x
  3. Step 3: Cross multiply
    356,601x = 553,945 × 553,945
  4. Step 4: Simplify right side
    356,601x = 306,855,063,025
  5. Step 5: Solve for x
    x = 306,855,063,025/356,601
  6. Step 6: Final answer
    x = 860,499.73

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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.