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Finding the Third Proportional to 299,217 and 437,253

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Solution

The third proportional to 299,217 and 437,253 is: 638,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,217 : 437,253 = 437,253 : x
  2. Step 2: Convert to fraction form
    299,217/437,253 = 437,253/x
  3. Step 3: Cross multiply
    299,217x = 437,253 × 437,253
  4. Step 4: Simplify right side
    299,217x = 191,190,186,009
  5. Step 5: Solve for x
    x = 191,190,186,009/299,217
  6. Step 6: Final answer
    x = 638,968.33

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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.