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Finding the Third Proportional to 97,021.55 and 211,129.03

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Solution

The third proportional to 97,021.55 and 211,129.03 is: 459,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,021.55 : 211,129.03 = 211,129.03 : x
  2. Step 2: Convert to fraction form
    97,021.55/211,129.03 = 211,129.03/x
  3. Step 3: Cross multiply
    97,021.55x = 211,129.03 × 211,129.03
  4. Step 4: Simplify right side
    97,021.55x = 44,575,467,836.56
  5. Step 5: Solve for x
    x = 44,575,467,836.56/97,021.55
  6. Step 6: Final answer
    x = 459,438.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.