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Finding the Third Proportional to 253,995 and 348,297

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Solution

The third proportional to 253,995 and 348,297 is: 477,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,995 : 348,297 = 348,297 : x
  2. Step 2: Convert to fraction form
    253,995/348,297 = 348,297/x
  3. Step 3: Cross multiply
    253,995x = 348,297 × 348,297
  4. Step 4: Simplify right side
    253,995x = 121,310,800,209
  5. Step 5: Solve for x
    x = 121,310,800,209/253,995
  6. Step 6: Final answer
    x = 477,610.98

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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.