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Finding the Third Proportional to 121,972 and 266,984

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Solution

The third proportional to 121,972 and 266,984 is: 584,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,972 : 266,984 = 266,984 : x
  2. Step 2: Convert to fraction form
    121,972/266,984 = 266,984/x
  3. Step 3: Cross multiply
    121,972x = 266,984 × 266,984
  4. Step 4: Simplify right side
    121,972x = 71,280,456,256
  5. Step 5: Solve for x
    x = 71,280,456,256/121,972
  6. Step 6: Final answer
    x = 584,400.16

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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.