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Finding the Third Proportional to 70,419 and 150,090

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Solution

The third proportional to 70,419 and 150,090 is: 319,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419 : 150,090 = 150,090 : x
  2. Step 2: Convert to fraction form
    70,419/150,090 = 150,090/x
  3. Step 3: Cross multiply
    70,419x = 150,090 × 150,090
  4. Step 4: Simplify right side
    70,419x = 22,527,008,100
  5. Step 5: Solve for x
    x = 22,527,008,100/70,419
  6. Step 6: Final answer
    x = 319,899.57

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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.