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Finding the Third Proportional to 421,405 and 901,858

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Solution

The third proportional to 421,405 and 901,858 is: 1,930,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,405 : 901,858 = 901,858 : x
  2. Step 2: Convert to fraction form
    421,405/901,858 = 901,858/x
  3. Step 3: Cross multiply
    421,405x = 901,858 × 901,858
  4. Step 4: Simplify right side
    421,405x = 813,347,852,164
  5. Step 5: Solve for x
    x = 813,347,852,164/421,405
  6. Step 6: Final answer
    x = 1,930,085.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.