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Finding the Third Proportional to 72,946 and 109,491

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Solution

The third proportional to 72,946 and 109,491 is: 164,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946 : 109,491 = 109,491 : x
  2. Step 2: Convert to fraction form
    72,946/109,491 = 109,491/x
  3. Step 3: Cross multiply
    72,946x = 109,491 × 109,491
  4. Step 4: Simplify right side
    72,946x = 11,988,279,081
  5. Step 5: Solve for x
    x = 11,988,279,081/72,946
  6. Step 6: Final answer
    x = 164,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.