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Finding the Third Proportional to 99,391 and 212,984

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Solution

The third proportional to 99,391 and 212,984 is: 456,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,391 : 212,984 = 212,984 : x
  2. Step 2: Convert to fraction form
    99,391/212,984 = 212,984/x
  3. Step 3: Cross multiply
    99,391x = 212,984 × 212,984
  4. Step 4: Simplify right side
    99,391x = 45,362,184,256
  5. Step 5: Solve for x
    x = 45,362,184,256/99,391
  6. Step 6: Final answer
    x = 456,401.33

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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.