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Finding the Third Proportional to 100,725 and 219,429

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Solution

The third proportional to 100,725 and 219,429 is: 478,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,725 : 219,429 = 219,429 : x
  2. Step 2: Convert to fraction form
    100,725/219,429 = 219,429/x
  3. Step 3: Cross multiply
    100,725x = 219,429 × 219,429
  4. Step 4: Simplify right side
    100,725x = 48,149,086,041
  5. Step 5: Solve for x
    x = 48,149,086,041/100,725
  6. Step 6: Final answer
    x = 478,025.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.