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Finding the Third Proportional to 131,522 and 285,388

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Solution

The third proportional to 131,522 and 285,388 is: 619,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,522 : 285,388 = 285,388 : x
  2. Step 2: Convert to fraction form
    131,522/285,388 = 285,388/x
  3. Step 3: Cross multiply
    131,522x = 285,388 × 285,388
  4. Step 4: Simplify right side
    131,522x = 81,446,310,544
  5. Step 5: Solve for x
    x = 81,446,310,544/131,522
  6. Step 6: Final answer
    x = 619,259.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.