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Finding the Third Proportional to 133,615.88 and 278,288.06

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Solution

The third proportional to 133,615.88 and 278,288.06 is: 579,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615.88 : 278,288.06 = 278,288.06 : x
  2. Step 2: Convert to fraction form
    133,615.88/278,288.06 = 278,288.06/x
  3. Step 3: Cross multiply
    133,615.88x = 278,288.06 × 278,288.06
  4. Step 4: Simplify right side
    133,615.88x = 77,444,245,730.00
  5. Step 5: Solve for x
    x = 77,444,245,730.00/133,615.88
  6. Step 6: Final answer
    x = 579,603.63

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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.