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Finding the Third Proportional to 212,835.25 and 318,666.62

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Solution

The third proportional to 212,835.25 and 318,666.62 is: 477,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,835.25 : 318,666.62 = 318,666.62 : x
  2. Step 2: Convert to fraction form
    212,835.25/318,666.62 = 318,666.62/x
  3. Step 3: Cross multiply
    212,835.25x = 318,666.62 × 318,666.62
  4. Step 4: Simplify right side
    212,835.25x = 101,548,412,598.54
  5. Step 5: Solve for x
    x = 101,548,412,598.54/212,835.25
  6. Step 6: Final answer
    x = 477,122.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.