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Finding the Third Proportional to 100,010 and 213,412

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Solution

The third proportional to 100,010 and 213,412 is: 455,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010 : 213,412 = 213,412 : x
  2. Step 2: Convert to fraction form
    100,010/213,412 = 213,412/x
  3. Step 3: Cross multiply
    100,010x = 213,412 × 213,412
  4. Step 4: Simplify right side
    100,010x = 45,544,681,744
  5. Step 5: Solve for x
    x = 45,544,681,744/100,010
  6. Step 6: Final answer
    x = 455,401.28

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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.