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Finding the Third Proportional to 421,686 and 670,068

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Solution

The third proportional to 421,686 and 670,068 is: 1,064,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,686 : 670,068 = 670,068 : x
  2. Step 2: Convert to fraction form
    421,686/670,068 = 670,068/x
  3. Step 3: Cross multiply
    421,686x = 670,068 × 670,068
  4. Step 4: Simplify right side
    421,686x = 448,991,124,624
  5. Step 5: Solve for x
    x = 448,991,124,624/421,686
  6. Step 6: Final answer
    x = 1,064,752.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.