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Finding the Third Proportional to 421,242 and 908,910

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Solution

The third proportional to 421,242 and 908,910 is: 1,961,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,242 : 908,910 = 908,910 : x
  2. Step 2: Convert to fraction form
    421,242/908,910 = 908,910/x
  3. Step 3: Cross multiply
    421,242x = 908,910 × 908,910
  4. Step 4: Simplify right side
    421,242x = 826,117,388,100
  5. Step 5: Solve for x
    x = 826,117,388,100/421,242
  6. Step 6: Final answer
    x = 1,961,146.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.