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Finding the Third Proportional to 261,948 and 558,242

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Solution

The third proportional to 261,948 and 558,242 is: 1,189,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,948 : 558,242 = 558,242 : x
  2. Step 2: Convert to fraction form
    261,948/558,242 = 558,242/x
  3. Step 3: Cross multiply
    261,948x = 558,242 × 558,242
  4. Step 4: Simplify right side
    261,948x = 311,634,130,564
  5. Step 5: Solve for x
    x = 311,634,130,564/261,948
  6. Step 6: Final answer
    x = 1,189,679.37

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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.