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Finding the Third Proportional to 74,434 and 101,077

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Solution

The third proportional to 74,434 and 101,077 is: 137,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,434 : 101,077 = 101,077 : x
  2. Step 2: Convert to fraction form
    74,434/101,077 = 101,077/x
  3. Step 3: Cross multiply
    74,434x = 101,077 × 101,077
  4. Step 4: Simplify right side
    74,434x = 10,216,559,929
  5. Step 5: Solve for x
    x = 10,216,559,929/74,434
  6. Step 6: Final answer
    x = 137,256.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.