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Finding the Third Proportional to 426,912 and 669,672

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Solution

The third proportional to 426,912 and 669,672 is: 1,050,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,912 : 669,672 = 669,672 : x
  2. Step 2: Convert to fraction form
    426,912/669,672 = 669,672/x
  3. Step 3: Cross multiply
    426,912x = 669,672 × 669,672
  4. Step 4: Simplify right side
    426,912x = 448,460,587,584
  5. Step 5: Solve for x
    x = 448,460,587,584/426,912
  6. Step 6: Final answer
    x = 1,050,475.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.