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Finding the Third Proportional to 46,752 and 102,072

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Solution

The third proportional to 46,752 and 102,072 is: 222,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 102,072 = 102,072 : x
  2. Step 2: Convert to fraction form
    46,752/102,072 = 102,072/x
  3. Step 3: Cross multiply
    46,752x = 102,072 × 102,072
  4. Step 4: Simplify right side
    46,752x = 10,418,693,184
  5. Step 5: Solve for x
    x = 10,418,693,184/46,752
  6. Step 6: Final answer
    x = 222,850.21

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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.