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Finding the Third Proportional to 121,824 and 189,363

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Solution

The third proportional to 121,824 and 189,363 is: 294,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 189,363 = 189,363 : x
  2. Step 2: Convert to fraction form
    121,824/189,363 = 189,363/x
  3. Step 3: Cross multiply
    121,824x = 189,363 × 189,363
  4. Step 4: Simplify right side
    121,824x = 35,858,345,769
  5. Step 5: Solve for x
    x = 35,858,345,769/121,824
  6. Step 6: Final answer
    x = 294,345.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.