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Finding the Third Proportional to 121,651 and 266,984

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Solution

The third proportional to 121,651 and 266,984 is: 585,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,651 : 266,984 = 266,984 : x
  2. Step 2: Convert to fraction form
    121,651/266,984 = 266,984/x
  3. Step 3: Cross multiply
    121,651x = 266,984 × 266,984
  4. Step 4: Simplify right side
    121,651x = 71,280,456,256
  5. Step 5: Solve for x
    x = 71,280,456,256/121,651
  6. Step 6: Final answer
    x = 585,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.