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Finding the Third Proportional to 299,213 and 437,247

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Solution

The third proportional to 299,213 and 437,247 is: 638,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213 : 437,247 = 437,247 : x
  2. Step 2: Convert to fraction form
    299,213/437,247 = 437,247/x
  3. Step 3: Cross multiply
    299,213x = 437,247 × 437,247
  4. Step 4: Simplify right side
    299,213x = 191,184,939,009
  5. Step 5: Solve for x
    x = 191,184,939,009/299,213
  6. Step 6: Final answer
    x = 638,959.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.