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Finding the Third Proportional to 102,336.75 and 221,319

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Solution

The third proportional to 102,336.75 and 221,319 is: 478,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336.75 : 221,319 = 221,319 : x
  2. Step 2: Convert to fraction form
    102,336.75/221,319 = 221,319/x
  3. Step 3: Cross multiply
    102,336.75x = 221,319 × 221,319
  4. Step 4: Simplify right side
    102,336.75x = 48,982,099,761
  5. Step 5: Solve for x
    x = 48,982,099,761/102,336.75
  6. Step 6: Final answer
    x = 478,636.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.