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Finding the Third Proportional to 101,142 and 145,686

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Solution

The third proportional to 101,142 and 145,686 is: 209,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142 : 145,686 = 145,686 : x
  2. Step 2: Convert to fraction form
    101,142/145,686 = 145,686/x
  3. Step 3: Cross multiply
    101,142x = 145,686 × 145,686
  4. Step 4: Simplify right side
    101,142x = 21,224,410,596
  5. Step 5: Solve for x
    x = 21,224,410,596/101,142
  6. Step 6: Final answer
    x = 209,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.