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Finding the Third Proportional to 421,140 and 921,010

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Solution

The third proportional to 421,140 and 921,010 is: 2,014,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,140 : 921,010 = 921,010 : x
  2. Step 2: Convert to fraction form
    421,140/921,010 = 921,010/x
  3. Step 3: Cross multiply
    421,140x = 921,010 × 921,010
  4. Step 4: Simplify right side
    421,140x = 848,259,420,100
  5. Step 5: Solve for x
    x = 848,259,420,100/421,140
  6. Step 6: Final answer
    x = 2,014,198.18

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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.