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Finding the Third Proportional to 21,290 and 46,297

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Solution

The third proportional to 21,290 and 46,297 is: 100,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290 : 46,297 = 46,297 : x
  2. Step 2: Convert to fraction form
    21,290/46,297 = 46,297/x
  3. Step 3: Cross multiply
    21,290x = 46,297 × 46,297
  4. Step 4: Simplify right side
    21,290x = 2,143,412,209
  5. Step 5: Solve for x
    x = 2,143,412,209/21,290
  6. Step 6: Final answer
    x = 100,676.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.