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Finding the Third Proportional to 253,997 and 348,300

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Solution

The third proportional to 253,997 and 348,300 is: 477,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,997 : 348,300 = 348,300 : x
  2. Step 2: Convert to fraction form
    253,997/348,300 = 348,300/x
  3. Step 3: Cross multiply
    253,997x = 348,300 × 348,300
  4. Step 4: Simplify right side
    253,997x = 121,312,890,000
  5. Step 5: Solve for x
    x = 121,312,890,000/253,997
  6. Step 6: Final answer
    x = 477,615.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.