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Finding the Third Proportional to 103,752 and 211,308

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Solution

The third proportional to 103,752 and 211,308 is: 430,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,752 : 211,308 = 211,308 : x
  2. Step 2: Convert to fraction form
    103,752/211,308 = 211,308/x
  3. Step 3: Cross multiply
    103,752x = 211,308 × 211,308
  4. Step 4: Simplify right side
    103,752x = 44,651,070,864
  5. Step 5: Solve for x
    x = 44,651,070,864/103,752
  6. Step 6: Final answer
    x = 430,363.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.