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Finding the Third Proportional to 121,572 and 195,332

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Solution

The third proportional to 121,572 and 195,332 is: 313,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,572 : 195,332 = 195,332 : x
  2. Step 2: Convert to fraction form
    121,572/195,332 = 195,332/x
  3. Step 3: Cross multiply
    121,572x = 195,332 × 195,332
  4. Step 4: Simplify right side
    121,572x = 38,154,590,224
  5. Step 5: Solve for x
    x = 38,154,590,224/121,572
  6. Step 6: Final answer
    x = 313,843.57

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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.