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Finding the Third Proportional to 136,429.31 and 209,412.84

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Solution

The third proportional to 136,429.31 and 209,412.84 is: 321,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,429.31 : 209,412.84 = 209,412.84 : x
  2. Step 2: Convert to fraction form
    136,429.31/209,412.84 = 209,412.84/x
  3. Step 3: Cross multiply
    136,429.31x = 209,412.84 × 209,412.84
  4. Step 4: Simplify right side
    136,429.31x = 43,853,739,127.46
  5. Step 5: Solve for x
    x = 43,853,739,127.46/136,429.31
  6. Step 6: Final answer
    x = 321,439.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.