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Finding the Third Proportional to 636,278 and 1,363,638

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Solution

The third proportional to 636,278 and 1,363,638 is: 2,922,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,278 : 1,363,638 = 1,363,638 : x
  2. Step 2: Convert to fraction form
    636,278/1,363,638 = 1,363,638/x
  3. Step 3: Cross multiply
    636,278x = 1,363,638 × 1,363,638
  4. Step 4: Simplify right side
    636,278x = 1,859,508,595,044
  5. Step 5: Solve for x
    x = 1,859,508,595,044/636,278
  6. Step 6: Final answer
    x = 2,922,478.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.