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Finding the Third Proportional to 296,158 and 639,599

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Solution

The third proportional to 296,158 and 639,599 is: 1,381,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,158 : 639,599 = 639,599 : x
  2. Step 2: Convert to fraction form
    296,158/639,599 = 639,599/x
  3. Step 3: Cross multiply
    296,158x = 639,599 × 639,599
  4. Step 4: Simplify right side
    296,158x = 409,086,880,801
  5. Step 5: Solve for x
    x = 409,086,880,801/296,158
  6. Step 6: Final answer
    x = 1,381,312.95

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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.