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Finding the Third Proportional to 212,236 and 318,336

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Solution

The third proportional to 212,236 and 318,336 is: 477,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,236 : 318,336 = 318,336 : x
  2. Step 2: Convert to fraction form
    212,236/318,336 = 318,336/x
  3. Step 3: Cross multiply
    212,236x = 318,336 × 318,336
  4. Step 4: Simplify right side
    212,236x = 101,337,808,896
  5. Step 5: Solve for x
    x = 101,337,808,896/212,236
  6. Step 6: Final answer
    x = 477,477.00

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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.