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Finding the Third Proportional to 228,520 and 348,138

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Solution

The third proportional to 228,520 and 348,138 is: 530,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,520 : 348,138 = 348,138 : x
  2. Step 2: Convert to fraction form
    228,520/348,138 = 348,138/x
  3. Step 3: Cross multiply
    228,520x = 348,138 × 348,138
  4. Step 4: Simplify right side
    228,520x = 121,200,067,044
  5. Step 5: Solve for x
    x = 121,200,067,044/228,520
  6. Step 6: Final answer
    x = 530,369.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.