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Finding the Third Proportional to 90,942 and 212,411

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Solution

The third proportional to 90,942 and 212,411 is: 496,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,942 : 212,411 = 212,411 : x
  2. Step 2: Convert to fraction form
    90,942/212,411 = 212,411/x
  3. Step 3: Cross multiply
    90,942x = 212,411 × 212,411
  4. Step 4: Simplify right side
    90,942x = 45,118,432,921
  5. Step 5: Solve for x
    x = 45,118,432,921/90,942
  6. Step 6: Final answer
    x = 496,123.17

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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.