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Finding the Third Proportional to 421,104 and 913,152

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Solution

The third proportional to 421,104 and 913,152 is: 1,980,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,104 : 913,152 = 913,152 : x
  2. Step 2: Convert to fraction form
    421,104/913,152 = 913,152/x
  3. Step 3: Cross multiply
    421,104x = 913,152 × 913,152
  4. Step 4: Simplify right side
    421,104x = 833,846,575,104
  5. Step 5: Solve for x
    x = 833,846,575,104/421,104
  6. Step 6: Final answer
    x = 1,980,144.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.