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Finding the Third Proportional to 77,491 and 119,690

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Solution

The third proportional to 77,491 and 119,690 is: 184,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491 : 119,690 = 119,690 : x
  2. Step 2: Convert to fraction form
    77,491/119,690 = 119,690/x
  3. Step 3: Cross multiply
    77,491x = 119,690 × 119,690
  4. Step 4: Simplify right side
    77,491x = 14,325,696,100
  5. Step 5: Solve for x
    x = 14,325,696,100/77,491
  6. Step 6: Final answer
    x = 184,869.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.