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Finding the Third Proportional to 101,170 and 145,729

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Solution

The third proportional to 101,170 and 145,729 is: 209,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,170 : 145,729 = 145,729 : x
  2. Step 2: Convert to fraction form
    101,170/145,729 = 145,729/x
  3. Step 3: Cross multiply
    101,170x = 145,729 × 145,729
  4. Step 4: Simplify right side
    101,170x = 21,236,941,441
  5. Step 5: Solve for x
    x = 21,236,941,441/101,170
  6. Step 6: Final answer
    x = 209,913.43

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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.