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Finding the Third Proportional to 133,896 and 277,633.50

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Solution

The third proportional to 133,896 and 277,633.50 is: 575,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,896 : 277,633.50 = 277,633.50 : x
  2. Step 2: Convert to fraction form
    133,896/277,633.50 = 277,633.50/x
  3. Step 3: Cross multiply
    133,896x = 277,633.50 × 277,633.50
  4. Step 4: Simplify right side
    133,896x = 77,080,360,322.25
  5. Step 5: Solve for x
    x = 77,080,360,322.25/133,896
  6. Step 6: Final answer
    x = 575,673.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.