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Finding the Third Proportional to 605,413 and 1,284,621

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Solution

The third proportional to 605,413 and 1,284,621 is: 2,725,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,413 : 1,284,621 = 1,284,621 : x
  2. Step 2: Convert to fraction form
    605,413/1,284,621 = 1,284,621/x
  3. Step 3: Cross multiply
    605,413x = 1,284,621 × 1,284,621
  4. Step 4: Simplify right side
    605,413x = 1,650,251,113,641
  5. Step 5: Solve for x
    x = 1,650,251,113,641/605,413
  6. Step 6: Final answer
    x = 2,725,827.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.