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Finding the Third Proportional to 46,942 and 100,052

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Solution

The third proportional to 46,942 and 100,052 is: 213,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942 : 100,052 = 100,052 : x
  2. Step 2: Convert to fraction form
    46,942/100,052 = 100,052/x
  3. Step 3: Cross multiply
    46,942x = 100,052 × 100,052
  4. Step 4: Simplify right side
    46,942x = 10,010,402,704
  5. Step 5: Solve for x
    x = 10,010,402,704/46,942
  6. Step 6: Final answer
    x = 213,250.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.