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Finding the Third Proportional to 64,080 and 89,622

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Solution

The third proportional to 64,080 and 89,622 is: 125,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,080 : 89,622 = 89,622 : x
  2. Step 2: Convert to fraction form
    64,080/89,622 = 89,622/x
  3. Step 3: Cross multiply
    64,080x = 89,622 × 89,622
  4. Step 4: Simplify right side
    64,080x = 8,032,102,884
  5. Step 5: Solve for x
    x = 8,032,102,884/64,080
  6. Step 6: Final answer
    x = 125,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.