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Finding the Third Proportional to 133,710 and 278,629.50

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Solution

The third proportional to 133,710 and 278,629.50 is: 580,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710 : 278,629.50 = 278,629.50 : x
  2. Step 2: Convert to fraction form
    133,710/278,629.50 = 278,629.50/x
  3. Step 3: Cross multiply
    133,710x = 278,629.50 × 278,629.50
  4. Step 4: Simplify right side
    133,710x = 77,634,398,270.25
  5. Step 5: Solve for x
    x = 77,634,398,270.25/133,710
  6. Step 6: Final answer
    x = 580,617.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.