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Finding the Third Proportional to 21,180 and 46,715

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Solution

The third proportional to 21,180 and 46,715 is: 103,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180 : 46,715 = 46,715 : x
  2. Step 2: Convert to fraction form
    21,180/46,715 = 46,715/x
  3. Step 3: Cross multiply
    21,180x = 46,715 × 46,715
  4. Step 4: Simplify right side
    21,180x = 2,182,291,225
  5. Step 5: Solve for x
    x = 2,182,291,225/21,180
  6. Step 6: Final answer
    x = 103,035.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.