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Finding the Third Proportional to 606,413 and 1,320,421

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Solution

The third proportional to 606,413 and 1,320,421 is: 2,875,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,413 : 1,320,421 = 1,320,421 : x
  2. Step 2: Convert to fraction form
    606,413/1,320,421 = 1,320,421/x
  3. Step 3: Cross multiply
    606,413x = 1,320,421 × 1,320,421
  4. Step 4: Simplify right side
    606,413x = 1,743,511,617,241
  5. Step 5: Solve for x
    x = 1,743,511,617,241/606,413
  6. Step 6: Final answer
    x = 2,875,122.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.