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Finding the Third Proportional to 121,570 and 189,735

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Solution

The third proportional to 121,570 and 189,735 is: 296,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570 : 189,735 = 189,735 : x
  2. Step 2: Convert to fraction form
    121,570/189,735 = 189,735/x
  3. Step 3: Cross multiply
    121,570x = 189,735 × 189,735
  4. Step 4: Simplify right side
    121,570x = 35,999,370,225
  5. Step 5: Solve for x
    x = 35,999,370,225/121,570
  6. Step 6: Final answer
    x = 296,120.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.