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Finding the Third Proportional to 296,174 and 639,630

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Solution

The third proportional to 296,174 and 639,630 is: 1,381,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,174 : 639,630 = 639,630 : x
  2. Step 2: Convert to fraction form
    296,174/639,630 = 639,630/x
  3. Step 3: Cross multiply
    296,174x = 639,630 × 639,630
  4. Step 4: Simplify right side
    296,174x = 409,126,536,900
  5. Step 5: Solve for x
    x = 409,126,536,900/296,174
  6. Step 6: Final answer
    x = 1,381,372.22

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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.