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Finding the Third Proportional to 553,670 and 855,042

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Solution

The third proportional to 553,670 and 855,042 is: 1,320,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,670 : 855,042 = 855,042 : x
  2. Step 2: Convert to fraction form
    553,670/855,042 = 855,042/x
  3. Step 3: Cross multiply
    553,670x = 855,042 × 855,042
  4. Step 4: Simplify right side
    553,670x = 731,096,821,764
  5. Step 5: Solve for x
    x = 731,096,821,764/553,670
  6. Step 6: Final answer
    x = 1,320,455.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.