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Finding the Third Proportional to 121,840 and 191,175

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Solution

The third proportional to 121,840 and 191,175 is: 299,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,840 : 191,175 = 191,175 : x
  2. Step 2: Convert to fraction form
    121,840/191,175 = 191,175/x
  3. Step 3: Cross multiply
    121,840x = 191,175 × 191,175
  4. Step 4: Simplify right side
    121,840x = 36,547,880,625
  5. Step 5: Solve for x
    x = 36,547,880,625/121,840
  6. Step 6: Final answer
    x = 299,966.19

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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.