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Finding the Third Proportional to 403,502 and 565,497

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Solution

The third proportional to 403,502 and 565,497 is: 792,528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,502 : 565,497 = 565,497 : x
  2. Step 2: Convert to fraction form
    403,502/565,497 = 565,497/x
  3. Step 3: Cross multiply
    403,502x = 565,497 × 565,497
  4. Step 4: Simplify right side
    403,502x = 319,786,857,009
  5. Step 5: Solve for x
    x = 319,786,857,009/403,502
  6. Step 6: Final answer
    x = 792,528.56

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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.