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Finding the Third Proportional to 121,377 and 190,405

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Solution

The third proportional to 121,377 and 190,405 is: 298,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,377 : 190,405 = 190,405 : x
  2. Step 2: Convert to fraction form
    121,377/190,405 = 190,405/x
  3. Step 3: Cross multiply
    121,377x = 190,405 × 190,405
  4. Step 4: Simplify right side
    121,377x = 36,254,064,025
  5. Step 5: Solve for x
    x = 36,254,064,025/121,377
  6. Step 6: Final answer
    x = 298,689.74

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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.