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Finding the Third Proportional to 77,682 and 113,970

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Solution

The third proportional to 77,682 and 113,970 is: 167,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682 : 113,970 = 113,970 : x
  2. Step 2: Convert to fraction form
    77,682/113,970 = 113,970/x
  3. Step 3: Cross multiply
    77,682x = 113,970 × 113,970
  4. Step 4: Simplify right side
    77,682x = 12,989,160,900
  5. Step 5: Solve for x
    x = 12,989,160,900/77,682
  6. Step 6: Final answer
    x = 167,209.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.