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Finding the Third Proportional to 121,220 and 257,992

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Solution

The third proportional to 121,220 and 257,992 is: 549,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,220 : 257,992 = 257,992 : x
  2. Step 2: Convert to fraction form
    121,220/257,992 = 257,992/x
  3. Step 3: Cross multiply
    121,220x = 257,992 × 257,992
  4. Step 4: Simplify right side
    121,220x = 66,559,872,064
  5. Step 5: Solve for x
    x = 66,559,872,064/121,220
  6. Step 6: Final answer
    x = 549,083.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.