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Finding the Third Proportional to 212,240 and 301,755

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Solution

The third proportional to 212,240 and 301,755 is: 429,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,240 : 301,755 = 301,755 : x
  2. Step 2: Convert to fraction form
    212,240/301,755 = 301,755/x
  3. Step 3: Cross multiply
    212,240x = 301,755 × 301,755
  4. Step 4: Simplify right side
    212,240x = 91,056,080,025
  5. Step 5: Solve for x
    x = 91,056,080,025/212,240
  6. Step 6: Final answer
    x = 429,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.