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Finding the Third Proportional to 296,588 and 639,832

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Solution

The third proportional to 296,588 and 639,832 is: 1,380,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,588 : 639,832 = 639,832 : x
  2. Step 2: Convert to fraction form
    296,588/639,832 = 639,832/x
  3. Step 3: Cross multiply
    296,588x = 639,832 × 639,832
  4. Step 4: Simplify right side
    296,588x = 409,384,988,224
  5. Step 5: Solve for x
    x = 409,384,988,224/296,588
  6. Step 6: Final answer
    x = 1,380,315.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.