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Finding the Third Proportional to 403,538 and 565,546

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Solution

The third proportional to 403,538 and 565,546 is: 792,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,538 : 565,546 = 565,546 : x
  2. Step 2: Convert to fraction form
    403,538/565,546 = 565,546/x
  3. Step 3: Cross multiply
    403,538x = 565,546 × 565,546
  4. Step 4: Simplify right side
    403,538x = 319,842,278,116
  5. Step 5: Solve for x
    x = 319,842,278,116/403,538
  6. Step 6: Final answer
    x = 792,595.19

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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.