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Finding the Third Proportional to 291,632 and 638,128

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Solution

The third proportional to 291,632 and 638,128 is: 1,396,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,632 : 638,128 = 638,128 : x
  2. Step 2: Convert to fraction form
    291,632/638,128 = 638,128/x
  3. Step 3: Cross multiply
    291,632x = 638,128 × 638,128
  4. Step 4: Simplify right side
    291,632x = 407,207,344,384
  5. Step 5: Solve for x
    x = 407,207,344,384/291,632
  6. Step 6: Final answer
    x = 1,396,305.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.