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Finding the Third Proportional to 600,249 and 915,621

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Solution

The third proportional to 600,249 and 915,621 is: 1,396,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,249 : 915,621 = 915,621 : x
  2. Step 2: Convert to fraction form
    600,249/915,621 = 915,621/x
  3. Step 3: Cross multiply
    600,249x = 915,621 × 915,621
  4. Step 4: Simplify right side
    600,249x = 838,361,815,641
  5. Step 5: Solve for x
    x = 838,361,815,641/600,249
  6. Step 6: Final answer
    x = 1,396,690.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.