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Finding the Third Proportional to 288,524 and 403,545

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Solution

The third proportional to 288,524 and 403,545 is: 564,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,524 : 403,545 = 403,545 : x
  2. Step 2: Convert to fraction form
    288,524/403,545 = 403,545/x
  3. Step 3: Cross multiply
    288,524x = 403,545 × 403,545
  4. Step 4: Simplify right side
    288,524x = 162,848,567,025
  5. Step 5: Solve for x
    x = 162,848,567,025/288,524
  6. Step 6: Final answer
    x = 564,419.48

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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.