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Finding the Third Proportional to 443,313 and 668,253

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Solution

The third proportional to 443,313 and 668,253 is: 1,007,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,313 : 668,253 = 668,253 : x
  2. Step 2: Convert to fraction form
    443,313/668,253 = 668,253/x
  3. Step 3: Cross multiply
    443,313x = 668,253 × 668,253
  4. Step 4: Simplify right side
    443,313x = 446,562,072,009
  5. Step 5: Solve for x
    x = 446,562,072,009/443,313
  6. Step 6: Final answer
    x = 1,007,329.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.