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Finding the Third Proportional to 518,510 and 697,413

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Solution

The third proportional to 518,510 and 697,413 is: 938,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,510 : 697,413 = 697,413 : x
  2. Step 2: Convert to fraction form
    518,510/697,413 = 697,413/x
  3. Step 3: Cross multiply
    518,510x = 697,413 × 697,413
  4. Step 4: Simplify right side
    518,510x = 486,384,892,569
  5. Step 5: Solve for x
    x = 486,384,892,569/518,510
  6. Step 6: Final answer
    x = 938,043.42

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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.