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Finding the Third Proportional to 443,680 and 665,303

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Solution

The third proportional to 443,680 and 665,303 is: 997,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,680 : 665,303 = 665,303 : x
  2. Step 2: Convert to fraction form
    443,680/665,303 = 665,303/x
  3. Step 3: Cross multiply
    443,680x = 665,303 × 665,303
  4. Step 4: Simplify right side
    443,680x = 442,628,081,809
  5. Step 5: Solve for x
    x = 442,628,081,809/443,680
  6. Step 6: Final answer
    x = 997,629.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.