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Finding the Third Proportional to 107,403 and 212,095

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Solution

The third proportional to 107,403 and 212,095 is: 418,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,403 : 212,095 = 212,095 : x
  2. Step 2: Convert to fraction form
    107,403/212,095 = 212,095/x
  3. Step 3: Cross multiply
    107,403x = 212,095 × 212,095
  4. Step 4: Simplify right side
    107,403x = 44,984,289,025
  5. Step 5: Solve for x
    x = 44,984,289,025/107,403
  6. Step 6: Final answer
    x = 418,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.