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Finding the Third Proportional to 73,520 and 109,989

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Solution

The third proportional to 73,520 and 109,989 is: 164,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,520 : 109,989 = 109,989 : x
  2. Step 2: Convert to fraction form
    73,520/109,989 = 109,989/x
  3. Step 3: Cross multiply
    73,520x = 109,989 × 109,989
  4. Step 4: Simplify right side
    73,520x = 12,097,580,121
  5. Step 5: Solve for x
    x = 12,097,580,121/73,520
  6. Step 6: Final answer
    x = 164,548.15

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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.