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Finding the Third Proportional to 103,552 and 211,520

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Solution

The third proportional to 103,552 and 211,520 is: 432,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,552 : 211,520 = 211,520 : x
  2. Step 2: Convert to fraction form
    103,552/211,520 = 211,520/x
  3. Step 3: Cross multiply
    103,552x = 211,520 × 211,520
  4. Step 4: Simplify right side
    103,552x = 44,740,710,400
  5. Step 5: Solve for x
    x = 44,740,710,400/103,552
  6. Step 6: Final answer
    x = 432,060.32

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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.