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Finding the Third Proportional to 121,362 and 189,963

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Solution

The third proportional to 121,362 and 189,963 is: 297,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,362 : 189,963 = 189,963 : x
  2. Step 2: Convert to fraction form
    121,362/189,963 = 189,963/x
  3. Step 3: Cross multiply
    121,362x = 189,963 × 189,963
  4. Step 4: Simplify right side
    121,362x = 36,085,941,369
  5. Step 5: Solve for x
    x = 36,085,941,369/121,362
  6. Step 6: Final answer
    x = 297,341.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.