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Finding the Third Proportional to 454,372 and 712,836

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Solution

The third proportional to 454,372 and 712,836 is: 1,118,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,372 : 712,836 = 712,836 : x
  2. Step 2: Convert to fraction form
    454,372/712,836 = 712,836/x
  3. Step 3: Cross multiply
    454,372x = 712,836 × 712,836
  4. Step 4: Simplify right side
    454,372x = 508,135,162,896
  5. Step 5: Solve for x
    x = 508,135,162,896/454,372
  6. Step 6: Final answer
    x = 1,118,324.11

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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.