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Finding the Third Proportional to 409,638 and 891,084

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Solution

The third proportional to 409,638 and 891,084 is: 1,938,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,638 : 891,084 = 891,084 : x
  2. Step 2: Convert to fraction form
    409,638/891,084 = 891,084/x
  3. Step 3: Cross multiply
    409,638x = 891,084 × 891,084
  4. Step 4: Simplify right side
    409,638x = 794,030,695,056
  5. Step 5: Solve for x
    x = 794,030,695,056/409,638
  6. Step 6: Final answer
    x = 1,938,371.67

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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.