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Finding the Third Proportional to 90,324 and 213,239

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Solution

The third proportional to 90,324 and 213,239 is: 503,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,324 : 213,239 = 213,239 : x
  2. Step 2: Convert to fraction form
    90,324/213,239 = 213,239/x
  3. Step 3: Cross multiply
    90,324x = 213,239 × 213,239
  4. Step 4: Simplify right side
    90,324x = 45,470,871,121
  5. Step 5: Solve for x
    x = 45,470,871,121/90,324
  6. Step 6: Final answer
    x = 503,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.