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Finding the Third Proportional to 159,090 and 343,100

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Solution

The third proportional to 159,090 and 343,100 is: 739,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090 : 343,100 = 343,100 : x
  2. Step 2: Convert to fraction form
    159,090/343,100 = 343,100/x
  3. Step 3: Cross multiply
    159,090x = 343,100 × 343,100
  4. Step 4: Simplify right side
    159,090x = 117,717,610,000
  5. Step 5: Solve for x
    x = 117,717,610,000/159,090
  6. Step 6: Final answer
    x = 739,943.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.