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Finding the Third Proportional to 100,577 and 212,818

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Solution

The third proportional to 100,577 and 212,818 is: 450,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577 : 212,818 = 212,818 : x
  2. Step 2: Convert to fraction form
    100,577/212,818 = 212,818/x
  3. Step 3: Cross multiply
    100,577x = 212,818 × 212,818
  4. Step 4: Simplify right side
    100,577x = 45,291,501,124
  5. Step 5: Solve for x
    x = 45,291,501,124/100,577
  6. Step 6: Final answer
    x = 450,316.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.