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Finding the Third Proportional to 445,310 and 906,174

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Solution

The third proportional to 445,310 and 906,174 is: 1,843,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,310 : 906,174 = 906,174 : x
  2. Step 2: Convert to fraction form
    445,310/906,174 = 906,174/x
  3. Step 3: Cross multiply
    445,310x = 906,174 × 906,174
  4. Step 4: Simplify right side
    445,310x = 821,151,318,276
  5. Step 5: Solve for x
    x = 821,151,318,276/445,310
  6. Step 6: Final answer
    x = 1,843,999.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.