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Finding the Third Proportional to 212,232 and 318,330

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Solution

The third proportional to 212,232 and 318,330 is: 477,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,232 : 318,330 = 318,330 : x
  2. Step 2: Convert to fraction form
    212,232/318,330 = 318,330/x
  3. Step 3: Cross multiply
    212,232x = 318,330 × 318,330
  4. Step 4: Simplify right side
    212,232x = 101,333,988,900
  5. Step 5: Solve for x
    x = 101,333,988,900/212,232
  6. Step 6: Final answer
    x = 477,468.00

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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.