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Finding the Third Proportional to 131,469 and 285,295.50

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Solution

The third proportional to 131,469 and 285,295.50 is: 619,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,469 : 285,295.50 = 285,295.50 : x
  2. Step 2: Convert to fraction form
    131,469/285,295.50 = 285,295.50/x
  3. Step 3: Cross multiply
    131,469x = 285,295.50 × 285,295.50
  4. Step 4: Simplify right side
    131,469x = 81,393,522,320.25
  5. Step 5: Solve for x
    x = 81,393,522,320.25/131,469
  6. Step 6: Final answer
    x = 619,108.10

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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.