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Finding the Third Proportional to 57,648 and 86,106

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Solution

The third proportional to 57,648 and 86,106 is: 128,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648 : 86,106 = 86,106 : x
  2. Step 2: Convert to fraction form
    57,648/86,106 = 86,106/x
  3. Step 3: Cross multiply
    57,648x = 86,106 × 86,106
  4. Step 4: Simplify right side
    57,648x = 7,414,243,236
  5. Step 5: Solve for x
    x = 7,414,243,236/57,648
  6. Step 6: Final answer
    x = 128,612.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.