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Finding the Third Proportional to 121,770 and 191,068

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Solution

The third proportional to 121,770 and 191,068 is: 299,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770 : 191,068 = 191,068 : x
  2. Step 2: Convert to fraction form
    121,770/191,068 = 191,068/x
  3. Step 3: Cross multiply
    121,770x = 191,068 × 191,068
  4. Step 4: Simplify right side
    121,770x = 36,506,980,624
  5. Step 5: Solve for x
    x = 36,506,980,624/121,770
  6. Step 6: Final answer
    x = 299,802.75

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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.