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Finding the Third Proportional to 403,560 and 565,579

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Solution

The third proportional to 403,560 and 565,579 is: 792,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,560 : 565,579 = 565,579 : x
  2. Step 2: Convert to fraction form
    403,560/565,579 = 565,579/x
  3. Step 3: Cross multiply
    403,560x = 565,579 × 565,579
  4. Step 4: Simplify right side
    403,560x = 319,879,605,241
  5. Step 5: Solve for x
    x = 319,879,605,241/403,560
  6. Step 6: Final answer
    x = 792,644.48

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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.