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Finding the Third Proportional to 46,750 and 100,066

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Solution

The third proportional to 46,750 and 100,066 is: 214,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750 : 100,066 = 100,066 : x
  2. Step 2: Convert to fraction form
    46,750/100,066 = 100,066/x
  3. Step 3: Cross multiply
    46,750x = 100,066 × 100,066
  4. Step 4: Simplify right side
    46,750x = 10,013,204,356
  5. Step 5: Solve for x
    x = 10,013,204,356/46,750
  6. Step 6: Final answer
    x = 214,186.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.