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Finding the Third Proportional to 212,989.50 and 459,270

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Solution

The third proportional to 212,989.50 and 459,270 is: 990,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,989.50 : 459,270 = 459,270 : x
  2. Step 2: Convert to fraction form
    212,989.50/459,270 = 459,270/x
  3. Step 3: Cross multiply
    212,989.50x = 459,270 × 459,270
  4. Step 4: Simplify right side
    212,989.50x = 210,928,932,900
  5. Step 5: Solve for x
    x = 210,928,932,900/212,989.50
  6. Step 6: Final answer
    x = 990,325.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.