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Finding the Third Proportional to 135,472.50 and 289,625.63

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Solution

The third proportional to 135,472.50 and 289,625.63 is: 619,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.50 : 289,625.63 = 289,625.63 : x
  2. Step 2: Convert to fraction form
    135,472.50/289,625.63 = 289,625.63/x
  3. Step 3: Cross multiply
    135,472.50x = 289,625.63 × 289,625.63
  4. Step 4: Simplify right side
    135,472.50x = 83,883,002,656.64
  5. Step 5: Solve for x
    x = 83,883,002,656.64/135,472.50
  6. Step 6: Final answer
    x = 619,188.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.