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Finding the Third Proportional to 212,415.75 and 414,072

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Solution

The third proportional to 212,415.75 and 414,072 is: 807,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,415.75 : 414,072 = 414,072 : x
  2. Step 2: Convert to fraction form
    212,415.75/414,072 = 414,072/x
  3. Step 3: Cross multiply
    212,415.75x = 414,072 × 414,072
  4. Step 4: Simplify right side
    212,415.75x = 171,455,621,184
  5. Step 5: Solve for x
    x = 171,455,621,184/212,415.75
  6. Step 6: Final answer
    x = 807,170.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.