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Finding the Third Proportional to 421,143 and 921,018

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Solution

The third proportional to 421,143 and 921,018 is: 2,014,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,143 : 921,018 = 921,018 : x
  2. Step 2: Convert to fraction form
    421,143/921,018 = 921,018/x
  3. Step 3: Cross multiply
    421,143x = 921,018 × 921,018
  4. Step 4: Simplify right side
    421,143x = 848,274,156,324
  5. Step 5: Solve for x
    x = 848,274,156,324/421,143
  6. Step 6: Final answer
    x = 2,014,218.82

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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.