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Finding the Third Proportional to 77,317 and 119,717

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Solution

The third proportional to 77,317 and 119,717 is: 185,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,317 : 119,717 = 119,717 : x
  2. Step 2: Convert to fraction form
    77,317/119,717 = 119,717/x
  3. Step 3: Cross multiply
    77,317x = 119,717 × 119,717
  4. Step 4: Simplify right side
    77,317x = 14,332,160,089
  5. Step 5: Solve for x
    x = 14,332,160,089/77,317
  6. Step 6: Final answer
    x = 185,368.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.