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Finding the Third Proportional to 35,020 and 80,989

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Solution

The third proportional to 35,020 and 80,989 is: 187,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,020 : 80,989 = 80,989 : x
  2. Step 2: Convert to fraction form
    35,020/80,989 = 80,989/x
  3. Step 3: Cross multiply
    35,020x = 80,989 × 80,989
  4. Step 4: Simplify right side
    35,020x = 6,559,218,121
  5. Step 5: Solve for x
    x = 6,559,218,121/35,020
  6. Step 6: Final answer
    x = 187,299.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.