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Finding the Third Proportional to 236,358 and 518,638

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Solution

The third proportional to 236,358 and 518,638 is: 1,138,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,358 : 518,638 = 518,638 : x
  2. Step 2: Convert to fraction form
    236,358/518,638 = 518,638/x
  3. Step 3: Cross multiply
    236,358x = 518,638 × 518,638
  4. Step 4: Simplify right side
    236,358x = 268,985,375,044
  5. Step 5: Solve for x
    x = 268,985,375,044/236,358
  6. Step 6: Final answer
    x = 1,138,042.19

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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.