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Finding the Third Proportional to 212,379 and 456,239

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Solution

The third proportional to 212,379 and 456,239 is: 980,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,379 : 456,239 = 456,239 : x
  2. Step 2: Convert to fraction form
    212,379/456,239 = 456,239/x
  3. Step 3: Cross multiply
    212,379x = 456,239 × 456,239
  4. Step 4: Simplify right side
    212,379x = 208,154,025,121
  5. Step 5: Solve for x
    x = 208,154,025,121/212,379
  6. Step 6: Final answer
    x = 980,106.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.