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Finding the Third Proportional to 420,454 and 946,160

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Solution

The third proportional to 420,454 and 946,160 is: 2,129,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,454 : 946,160 = 946,160 : x
  2. Step 2: Convert to fraction form
    420,454/946,160 = 946,160/x
  3. Step 3: Cross multiply
    420,454x = 946,160 × 946,160
  4. Step 4: Simplify right side
    420,454x = 895,218,745,600
  5. Step 5: Solve for x
    x = 895,218,745,600/420,454
  6. Step 6: Final answer
    x = 2,129,171.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.