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Finding the Third Proportional to 21,570 and 46,938

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Solution

The third proportional to 21,570 and 46,938 is: 102,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570 : 46,938 = 46,938 : x
  2. Step 2: Convert to fraction form
    21,570/46,938 = 46,938/x
  3. Step 3: Cross multiply
    21,570x = 46,938 × 46,938
  4. Step 4: Simplify right side
    21,570x = 2,203,175,844
  5. Step 5: Solve for x
    x = 2,203,175,844/21,570
  6. Step 6: Final answer
    x = 102,140.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.