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Finding the Third Proportional to 427,836 and 672,912

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Solution

The third proportional to 427,836 and 672,912 is: 1,058,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,836 : 672,912 = 672,912 : x
  2. Step 2: Convert to fraction form
    427,836/672,912 = 672,912/x
  3. Step 3: Cross multiply
    427,836x = 672,912 × 672,912
  4. Step 4: Simplify right side
    427,836x = 452,810,559,744
  5. Step 5: Solve for x
    x = 452,810,559,744/427,836
  6. Step 6: Final answer
    x = 1,058,374.14

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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.