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Finding the Third Proportional to 318,843 and 476,562

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Solution

The third proportional to 318,843 and 476,562 is: 712,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,843 : 476,562 = 476,562 : x
  2. Step 2: Convert to fraction form
    318,843/476,562 = 476,562/x
  3. Step 3: Cross multiply
    318,843x = 476,562 × 476,562
  4. Step 4: Simplify right side
    318,843x = 227,111,339,844
  5. Step 5: Solve for x
    x = 227,111,339,844/318,843
  6. Step 6: Final answer
    x = 712,298.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.