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Finding the Third Proportional to 105,750 and 145,011

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Solution

The third proportional to 105,750 and 145,011 is: 198,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,750 : 145,011 = 145,011 : x
  2. Step 2: Convert to fraction form
    105,750/145,011 = 145,011/x
  3. Step 3: Cross multiply
    105,750x = 145,011 × 145,011
  4. Step 4: Simplify right side
    105,750x = 21,028,190,121
  5. Step 5: Solve for x
    x = 21,028,190,121/105,750
  6. Step 6: Final answer
    x = 198,848.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.