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Finding the Third Proportional to 134,781.75 and 208,740.38

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Solution

The third proportional to 134,781.75 and 208,740.38 is: 323,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,781.75 : 208,740.38 = 208,740.38 : x
  2. Step 2: Convert to fraction form
    134,781.75/208,740.38 = 208,740.38/x
  3. Step 3: Cross multiply
    134,781.75x = 208,740.38 × 208,740.38
  4. Step 4: Simplify right side
    134,781.75x = 43,572,544,155.14
  5. Step 5: Solve for x
    x = 43,572,544,155.14/134,781.75
  6. Step 6: Final answer
    x = 323,282.23

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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.