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Finding the Third Proportional to 30,090 and 64,206

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Solution

The third proportional to 30,090 and 64,206 is: 137,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090 : 64,206 = 64,206 : x
  2. Step 2: Convert to fraction form
    30,090/64,206 = 64,206/x
  3. Step 3: Cross multiply
    30,090x = 64,206 × 64,206
  4. Step 4: Simplify right side
    30,090x = 4,122,410,436
  5. Step 5: Solve for x
    x = 4,122,410,436/30,090
  6. Step 6: Final answer
    x = 137,002.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.