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Finding the Third Proportional to 122,824 and 189,664

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Solution

The third proportional to 122,824 and 189,664 is: 292,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,824 : 189,664 = 189,664 : x
  2. Step 2: Convert to fraction form
    122,824/189,664 = 189,664/x
  3. Step 3: Cross multiply
    122,824x = 189,664 × 189,664
  4. Step 4: Simplify right side
    122,824x = 35,972,432,896
  5. Step 5: Solve for x
    x = 35,972,432,896/122,824
  6. Step 6: Final answer
    x = 292,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.