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Finding the Third Proportional to 90,897.75 and 212,299.78

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Solution

The third proportional to 90,897.75 and 212,299.78 is: 495,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,897.75 : 212,299.78 = 212,299.78 : x
  2. Step 2: Convert to fraction form
    90,897.75/212,299.78 = 212,299.78/x
  3. Step 3: Cross multiply
    90,897.75x = 212,299.78 × 212,299.78
  4. Step 4: Simplify right side
    90,897.75x = 45,071,197,118.80
  5. Step 5: Solve for x
    x = 45,071,197,118.80/90,897.75
  6. Step 6: Final answer
    x = 495,845.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.