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Finding the Third Proportional to 134,163 and 284,296.50

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Solution

The third proportional to 134,163 and 284,296.50 is: 602,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,163 : 284,296.50 = 284,296.50 : x
  2. Step 2: Convert to fraction form
    134,163/284,296.50 = 284,296.50/x
  3. Step 3: Cross multiply
    134,163x = 284,296.50 × 284,296.50
  4. Step 4: Simplify right side
    134,163x = 80,824,499,912.25
  5. Step 5: Solve for x
    x = 80,824,499,912.25/134,163
  6. Step 6: Final answer
    x = 602,435.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.