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Finding the Third Proportional to 403,558 and 565,575

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Solution

The third proportional to 403,558 and 565,575 is: 792,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,558 : 565,575 = 565,575 : x
  2. Step 2: Convert to fraction form
    403,558/565,575 = 565,575/x
  3. Step 3: Cross multiply
    403,558x = 565,575 × 565,575
  4. Step 4: Simplify right side
    403,558x = 319,875,080,625
  5. Step 5: Solve for x
    x = 319,875,080,625/403,558
  6. Step 6: Final answer
    x = 792,637.19

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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.