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Finding the Third Proportional to 115,444 and 155,141

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Solution

The third proportional to 115,444 and 155,141 is: 208,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,444 : 155,141 = 155,141 : x
  2. Step 2: Convert to fraction form
    115,444/155,141 = 155,141/x
  3. Step 3: Cross multiply
    115,444x = 155,141 × 155,141
  4. Step 4: Simplify right side
    115,444x = 24,068,729,881
  5. Step 5: Solve for x
    x = 24,068,729,881/115,444
  6. Step 6: Final answer
    x = 208,488.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.