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Finding the Third Proportional to 21,259 and 46,403.38

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Solution

The third proportional to 21,259 and 46,403.38 is: 101,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259 : 46,403.38 = 46,403.38 : x
  2. Step 2: Convert to fraction form
    21,259/46,403.38 = 46,403.38/x
  3. Step 3: Cross multiply
    21,259x = 46,403.38 × 46,403.38
  4. Step 4: Simplify right side
    21,259x = 2,153,273,211.39
  5. Step 5: Solve for x
    x = 2,153,273,211.39/21,259
  6. Step 6: Final answer
    x = 101,287.61

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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.