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Finding the Third Proportional to 261,916 and 558,175

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Solution

The third proportional to 261,916 and 558,175 is: 1,189,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,916 : 558,175 = 558,175 : x
  2. Step 2: Convert to fraction form
    261,916/558,175 = 558,175/x
  3. Step 3: Cross multiply
    261,916x = 558,175 × 558,175
  4. Step 4: Simplify right side
    261,916x = 311,559,330,625
  5. Step 5: Solve for x
    x = 311,559,330,625/261,916
  6. Step 6: Final answer
    x = 1,189,539.13

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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.