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Finding the Third Proportional to 305,594 and 663,778

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Solution

The third proportional to 305,594 and 663,778 is: 1,441,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,594 : 663,778 = 663,778 : x
  2. Step 2: Convert to fraction form
    305,594/663,778 = 663,778/x
  3. Step 3: Cross multiply
    305,594x = 663,778 × 663,778
  4. Step 4: Simplify right side
    305,594x = 440,601,233,284
  5. Step 5: Solve for x
    x = 440,601,233,284/305,594
  6. Step 6: Final answer
    x = 1,441,786.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.