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Finding the Third Proportional to 288,522 and 403,542

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Solution

The third proportional to 288,522 and 403,542 is: 564,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,522 : 403,542 = 403,542 : x
  2. Step 2: Convert to fraction form
    288,522/403,542 = 403,542/x
  3. Step 3: Cross multiply
    288,522x = 403,542 × 403,542
  4. Step 4: Simplify right side
    288,522x = 162,846,145,764
  5. Step 5: Solve for x
    x = 162,846,145,764/288,522
  6. Step 6: Final answer
    x = 564,415.00

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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.