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Finding the Third Proportional to 133,853.63 and 207,260.44

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Solution

The third proportional to 133,853.63 and 207,260.44 is: 320,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853.63 : 207,260.44 = 207,260.44 : x
  2. Step 2: Convert to fraction form
    133,853.63/207,260.44 = 207,260.44/x
  3. Step 3: Cross multiply
    133,853.63x = 207,260.44 × 207,260.44
  4. Step 4: Simplify right side
    133,853.63x = 42,956,888,952.69
  5. Step 5: Solve for x
    x = 42,956,888,952.69/133,853.63
  6. Step 6: Final answer
    x = 320,924.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.