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Finding the Third Proportional to 289,783.75 and 622,416

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Solution

The third proportional to 289,783.75 and 622,416 is: 1,336,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.75 : 622,416 = 622,416 : x
  2. Step 2: Convert to fraction form
    289,783.75/622,416 = 622,416/x
  3. Step 3: Cross multiply
    289,783.75x = 622,416 × 622,416
  4. Step 4: Simplify right side
    289,783.75x = 387,401,677,056
  5. Step 5: Solve for x
    x = 387,401,677,056/289,783.75
  6. Step 6: Final answer
    x = 1,336,864.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.