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Finding the Third Proportional to 421,860 and 916,680

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Solution

The third proportional to 421,860 and 916,680 is: 1,991,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,860 : 916,680 = 916,680 : x
  2. Step 2: Convert to fraction form
    421,860/916,680 = 916,680/x
  3. Step 3: Cross multiply
    421,860x = 916,680 × 916,680
  4. Step 4: Simplify right side
    421,860x = 840,302,222,400
  5. Step 5: Solve for x
    x = 840,302,222,400/421,860
  6. Step 6: Final answer
    x = 1,991,898.31

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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.