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Finding the Third Proportional to 107,509.50 and 212,373

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Solution

The third proportional to 107,509.50 and 212,373 is: 419,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509.50 : 212,373 = 212,373 : x
  2. Step 2: Convert to fraction form
    107,509.50/212,373 = 212,373/x
  3. Step 3: Cross multiply
    107,509.50x = 212,373 × 212,373
  4. Step 4: Simplify right side
    107,509.50x = 45,102,291,129
  5. Step 5: Solve for x
    x = 45,102,291,129/107,509.50
  6. Step 6: Final answer
    x = 419,519.12

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.