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Finding the Third Proportional to 401,898 and 545,829

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Solution

The third proportional to 401,898 and 545,829 is: 741,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,898 : 545,829 = 545,829 : x
  2. Step 2: Convert to fraction form
    401,898/545,829 = 545,829/x
  3. Step 3: Cross multiply
    401,898x = 545,829 × 545,829
  4. Step 4: Simplify right side
    401,898x = 297,929,297,241
  5. Step 5: Solve for x
    x = 297,929,297,241/401,898
  6. Step 6: Final answer
    x = 741,305.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.