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Finding the Third Proportional to 240,806 and 381,621

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Solution

The third proportional to 240,806 and 381,621 is: 604,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,806 : 381,621 = 381,621 : x
  2. Step 2: Convert to fraction form
    240,806/381,621 = 381,621/x
  3. Step 3: Cross multiply
    240,806x = 381,621 × 381,621
  4. Step 4: Simplify right side
    240,806x = 145,634,587,641
  5. Step 5: Solve for x
    x = 145,634,587,641/240,806
  6. Step 6: Final answer
    x = 604,779.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.