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Finding the Third Proportional to 19,753 and 46,627

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Solution

The third proportional to 19,753 and 46,627 is: 110,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753 : 46,627 = 46,627 : x
  2. Step 2: Convert to fraction form
    19,753/46,627 = 46,627/x
  3. Step 3: Cross multiply
    19,753x = 46,627 × 46,627
  4. Step 4: Simplify right side
    19,753x = 2,174,077,129
  5. Step 5: Solve for x
    x = 2,174,077,129/19,753
  6. Step 6: Final answer
    x = 110,063.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.