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Finding the Third Proportional to 21,516 and 46,431

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Solution

The third proportional to 21,516 and 46,431 is: 100,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516 : 46,431 = 46,431 : x
  2. Step 2: Convert to fraction form
    21,516/46,431 = 46,431/x
  3. Step 3: Cross multiply
    21,516x = 46,431 × 46,431
  4. Step 4: Simplify right side
    21,516x = 2,155,837,761
  5. Step 5: Solve for x
    x = 2,155,837,761/21,516
  6. Step 6: Final answer
    x = 100,196.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.