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Finding the Third Proportional to 121,570 and 195,330

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Solution

The third proportional to 121,570 and 195,330 is: 313,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570 : 195,330 = 195,330 : x
  2. Step 2: Convert to fraction form
    121,570/195,330 = 195,330/x
  3. Step 3: Cross multiply
    121,570x = 195,330 × 195,330
  4. Step 4: Simplify right side
    121,570x = 38,153,808,900
  5. Step 5: Solve for x
    x = 38,153,808,900/121,570
  6. Step 6: Final answer
    x = 313,842.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.