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Finding the Third Proportional to 421,054 and 920,853

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Solution

The third proportional to 421,054 and 920,853 is: 2,013,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,054 : 920,853 = 920,853 : x
  2. Step 2: Convert to fraction form
    421,054/920,853 = 920,853/x
  3. Step 3: Cross multiply
    421,054x = 920,853 × 920,853
  4. Step 4: Simplify right side
    421,054x = 847,970,247,609
  5. Step 5: Solve for x
    x = 847,970,247,609/421,054
  6. Step 6: Final answer
    x = 2,013,922.79

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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.