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Finding the Third Proportional to 421,122 and 920,964

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Solution

The third proportional to 421,122 and 920,964 is: 2,014,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,122 : 920,964 = 920,964 : x
  2. Step 2: Convert to fraction form
    421,122/920,964 = 920,964/x
  3. Step 3: Cross multiply
    421,122x = 920,964 × 920,964
  4. Step 4: Simplify right side
    421,122x = 848,174,689,296
  5. Step 5: Solve for x
    x = 848,174,689,296/421,122
  6. Step 6: Final answer
    x = 2,014,083.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.