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Finding the Third Proportional to 109,130 and 169,083

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Solution

The third proportional to 109,130 and 169,083 is: 261,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,130 : 169,083 = 169,083 : x
  2. Step 2: Convert to fraction form
    109,130/169,083 = 169,083/x
  3. Step 3: Cross multiply
    109,130x = 169,083 × 169,083
  4. Step 4: Simplify right side
    109,130x = 28,589,060,889
  5. Step 5: Solve for x
    x = 28,589,060,889/109,130
  6. Step 6: Final answer
    x = 261,972.52

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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.