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Finding the Third Proportional to 64,053 and 102,325

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Solution

The third proportional to 64,053 and 102,325 is: 163,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,053 : 102,325 = 102,325 : x
  2. Step 2: Convert to fraction form
    64,053/102,325 = 102,325/x
  3. Step 3: Cross multiply
    64,053x = 102,325 × 102,325
  4. Step 4: Simplify right side
    64,053x = 10,470,405,625
  5. Step 5: Solve for x
    x = 10,470,405,625/64,053
  6. Step 6: Final answer
    x = 163,464.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.