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Finding the Third Proportional to 133,458.47 and 277,989.47

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Solution

The third proportional to 133,458.47 and 277,989.47 is: 579,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,458.47 : 277,989.47 = 277,989.47 : x
  2. Step 2: Convert to fraction form
    133,458.47/277,989.47 = 277,989.47/x
  3. Step 3: Cross multiply
    133,458.47x = 277,989.47 × 277,989.47
  4. Step 4: Simplify right side
    133,458.47x = 77,278,144,735.91
  5. Step 5: Solve for x
    x = 77,278,144,735.91/133,458.47
  6. Step 6: Final answer
    x = 579,042.64

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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.