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Finding the Third Proportional to 385,567 and 817,790

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Solution

The third proportional to 385,567 and 817,790 is: 1,734,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,567 : 817,790 = 817,790 : x
  2. Step 2: Convert to fraction form
    385,567/817,790 = 817,790/x
  3. Step 3: Cross multiply
    385,567x = 817,790 × 817,790
  4. Step 4: Simplify right side
    385,567x = 668,780,484,100
  5. Step 5: Solve for x
    x = 668,780,484,100/385,567
  6. Step 6: Final answer
    x = 1,734,537.67

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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.