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Finding the Third Proportional to 403,538 and 565,548

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Solution

The third proportional to 403,538 and 565,548 is: 792,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,538 : 565,548 = 565,548 : x
  2. Step 2: Convert to fraction form
    403,538/565,548 = 565,548/x
  3. Step 3: Cross multiply
    403,538x = 565,548 × 565,548
  4. Step 4: Simplify right side
    403,538x = 319,844,540,304
  5. Step 5: Solve for x
    x = 319,844,540,304/403,538
  6. Step 6: Final answer
    x = 792,600.80

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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.