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Finding the Third Proportional to 421,676 and 670,642

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Solution

The third proportional to 421,676 and 670,642 is: 1,066,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,676 : 670,642 = 670,642 : x
  2. Step 2: Convert to fraction form
    421,676/670,642 = 670,642/x
  3. Step 3: Cross multiply
    421,676x = 670,642 × 670,642
  4. Step 4: Simplify right side
    421,676x = 449,760,692,164
  5. Step 5: Solve for x
    x = 449,760,692,164/421,676
  6. Step 6: Final answer
    x = 1,066,602.54

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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.