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Finding the Third Proportional to 128,216 and 212,807

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Solution

The third proportional to 128,216 and 212,807 is: 353,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,216 : 212,807 = 212,807 : x
  2. Step 2: Convert to fraction form
    128,216/212,807 = 212,807/x
  3. Step 3: Cross multiply
    128,216x = 212,807 × 212,807
  4. Step 4: Simplify right side
    128,216x = 45,286,819,249
  5. Step 5: Solve for x
    x = 45,286,819,249/128,216
  6. Step 6: Final answer
    x = 353,207.24

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.