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Finding the Third Proportional to 420,109.03 and 854,057.67

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Solution

The third proportional to 420,109.03 and 854,057.67 is: 1,736,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,109.03 : 854,057.67 = 854,057.67 : x
  2. Step 2: Convert to fraction form
    420,109.03/854,057.67 = 854,057.67/x
  3. Step 3: Cross multiply
    420,109.03x = 854,057.67 × 854,057.67
  4. Step 4: Simplify right side
    420,109.03x = 729,414,506,888.55
  5. Step 5: Solve for x
    x = 729,414,506,888.55/420,109.03
  6. Step 6: Final answer
    x = 1,736,250.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.