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Finding the Third Proportional to 343,073 and 490,147

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Solution

The third proportional to 343,073 and 490,147 is: 700,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,073 : 490,147 = 490,147 : x
  2. Step 2: Convert to fraction form
    343,073/490,147 = 490,147/x
  3. Step 3: Cross multiply
    343,073x = 490,147 × 490,147
  4. Step 4: Simplify right side
    343,073x = 240,244,081,609
  5. Step 5: Solve for x
    x = 240,244,081,609/343,073
  6. Step 6: Final answer
    x = 700,271.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.