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Finding the Third Proportional to 72,947 and 104,313

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Solution

The third proportional to 72,947 and 104,313 is: 149,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947 : 104,313 = 104,313 : x
  2. Step 2: Convert to fraction form
    72,947/104,313 = 104,313/x
  3. Step 3: Cross multiply
    72,947x = 104,313 × 104,313
  4. Step 4: Simplify right side
    72,947x = 10,881,201,969
  5. Step 5: Solve for x
    x = 10,881,201,969/72,947
  6. Step 6: Final answer
    x = 149,165.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.