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Finding the Third Proportional to 212,719 and 459,281

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Solution

The third proportional to 212,719 and 459,281 is: 991,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,719 : 459,281 = 459,281 : x
  2. Step 2: Convert to fraction form
    212,719/459,281 = 459,281/x
  3. Step 3: Cross multiply
    212,719x = 459,281 × 459,281
  4. Step 4: Simplify right side
    212,719x = 210,939,036,961
  5. Step 5: Solve for x
    x = 210,939,036,961/212,719
  6. Step 6: Final answer
    x = 991,632.33

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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.