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Finding the Third Proportional to 73,973 and 139,747

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Solution

The third proportional to 73,973 and 139,747 is: 264,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,973 : 139,747 = 139,747 : x
  2. Step 2: Convert to fraction form
    73,973/139,747 = 139,747/x
  3. Step 3: Cross multiply
    73,973x = 139,747 × 139,747
  4. Step 4: Simplify right side
    73,973x = 19,529,224,009
  5. Step 5: Solve for x
    x = 19,529,224,009/73,973
  6. Step 6: Final answer
    x = 264,004.76

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.