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Finding the Third Proportional to 57,106 and 121,664

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Solution

The third proportional to 57,106 and 121,664 is: 259,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106 : 121,664 = 121,664 : x
  2. Step 2: Convert to fraction form
    57,106/121,664 = 121,664/x
  3. Step 3: Cross multiply
    57,106x = 121,664 × 121,664
  4. Step 4: Simplify right side
    57,106x = 14,802,128,896
  5. Step 5: Solve for x
    x = 14,802,128,896/57,106
  6. Step 6: Final answer
    x = 259,204.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.