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Finding the Third Proportional to 518,691 and 1,211,508

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Solution

The third proportional to 518,691 and 1,211,508 is: 2,829,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,691 : 1,211,508 = 1,211,508 : x
  2. Step 2: Convert to fraction form
    518,691/1,211,508 = 1,211,508/x
  3. Step 3: Cross multiply
    518,691x = 1,211,508 × 1,211,508
  4. Step 4: Simplify right side
    518,691x = 1,467,751,634,064
  5. Step 5: Solve for x
    x = 1,467,751,634,064/518,691
  6. Step 6: Final answer
    x = 2,829,722.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.