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Finding the Third Proportional to 623,421 and 1,342,183

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Solution

The third proportional to 623,421 and 1,342,183 is: 2,889,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,421 : 1,342,183 = 1,342,183 : x
  2. Step 2: Convert to fraction form
    623,421/1,342,183 = 1,342,183/x
  3. Step 3: Cross multiply
    623,421x = 1,342,183 × 1,342,183
  4. Step 4: Simplify right side
    623,421x = 1,801,455,205,489
  5. Step 5: Solve for x
    x = 1,801,455,205,489/623,421
  6. Step 6: Final answer
    x = 2,889,628.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.