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Finding the Third Proportional to 403,517 and 565,518

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Solution

The third proportional to 403,517 and 565,518 is: 792,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,517 : 565,518 = 565,518 : x
  2. Step 2: Convert to fraction form
    403,517/565,518 = 565,518/x
  3. Step 3: Cross multiply
    403,517x = 565,518 × 565,518
  4. Step 4: Simplify right side
    403,517x = 319,810,608,324
  5. Step 5: Solve for x
    x = 319,810,608,324/403,517
  6. Step 6: Final answer
    x = 792,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.