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Finding the Third Proportional to 99,301 and 212,815

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Solution

The third proportional to 99,301 and 212,815 is: 456,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,301 : 212,815 = 212,815 : x
  2. Step 2: Convert to fraction form
    99,301/212,815 = 212,815/x
  3. Step 3: Cross multiply
    99,301x = 212,815 × 212,815
  4. Step 4: Simplify right side
    99,301x = 45,290,224,225
  5. Step 5: Solve for x
    x = 45,290,224,225/99,301
  6. Step 6: Final answer
    x = 456,090.31

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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.