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Finding the Third Proportional to 219,531 and 456,288

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Solution

The third proportional to 219,531 and 456,288 is: 948,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531 : 456,288 = 456,288 : x
  2. Step 2: Convert to fraction form
    219,531/456,288 = 456,288/x
  3. Step 3: Cross multiply
    219,531x = 456,288 × 456,288
  4. Step 4: Simplify right side
    219,531x = 208,198,738,944
  5. Step 5: Solve for x
    x = 208,198,738,944/219,531
  6. Step 6: Final answer
    x = 948,379.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.