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Finding the Third Proportional to 130,740 and 208,908

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Solution

The third proportional to 130,740 and 208,908 is: 333,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,740 : 208,908 = 208,908 : x
  2. Step 2: Convert to fraction form
    130,740/208,908 = 208,908/x
  3. Step 3: Cross multiply
    130,740x = 208,908 × 208,908
  4. Step 4: Simplify right side
    130,740x = 43,642,552,464
  5. Step 5: Solve for x
    x = 43,642,552,464/130,740
  6. Step 6: Final answer
    x = 333,811.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.