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Finding the Third Proportional to 90,994.78 and 197,708.06

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Solution

The third proportional to 90,994.78 and 197,708.06 is: 429,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,994.78 : 197,708.06 = 197,708.06 : x
  2. Step 2: Convert to fraction form
    90,994.78/197,708.06 = 197,708.06/x
  3. Step 3: Cross multiply
    90,994.78x = 197,708.06 × 197,708.06
  4. Step 4: Simplify right side
    90,994.78x = 39,088,477,977.50
  5. Step 5: Solve for x
    x = 39,088,477,977.50/90,994.78
  6. Step 6: Final answer
    x = 429,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.