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Finding the Third Proportional to 260,091 and 558,981

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Solution

The third proportional to 260,091 and 558,981 is: 1,201,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,091 : 558,981 = 558,981 : x
  2. Step 2: Convert to fraction form
    260,091/558,981 = 558,981/x
  3. Step 3: Cross multiply
    260,091x = 558,981 × 558,981
  4. Step 4: Simplify right side
    260,091x = 312,459,758,361
  5. Step 5: Solve for x
    x = 312,459,758,361/260,091
  6. Step 6: Final answer
    x = 1,201,347.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.