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Finding the Third Proportional to 638,322 and 945,159

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Solution

The third proportional to 638,322 and 945,159 is: 1,399,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,322 : 945,159 = 945,159 : x
  2. Step 2: Convert to fraction form
    638,322/945,159 = 945,159/x
  3. Step 3: Cross multiply
    638,322x = 945,159 × 945,159
  4. Step 4: Simplify right side
    638,322x = 893,325,535,281
  5. Step 5: Solve for x
    x = 893,325,535,281/638,322
  6. Step 6: Final answer
    x = 1,399,490.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.