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Finding the Third Proportional to 518,508 and 697,410

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Solution

The third proportional to 518,508 and 697,410 is: 938,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,508 : 697,410 = 697,410 : x
  2. Step 2: Convert to fraction form
    518,508/697,410 = 697,410/x
  3. Step 3: Cross multiply
    518,508x = 697,410 × 697,410
  4. Step 4: Simplify right side
    518,508x = 486,380,708,100
  5. Step 5: Solve for x
    x = 486,380,708,100/518,508
  6. Step 6: Final answer
    x = 938,038.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.