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Finding the Third Proportional to 308,884 and 670,082

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Solution

The third proportional to 308,884 and 670,082 is: 1,453,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,884 : 670,082 = 670,082 : x
  2. Step 2: Convert to fraction form
    308,884/670,082 = 670,082/x
  3. Step 3: Cross multiply
    308,884x = 670,082 × 670,082
  4. Step 4: Simplify right side
    308,884x = 449,009,886,724
  5. Step 5: Solve for x
    x = 449,009,886,724/308,884
  6. Step 6: Final answer
    x = 1,453,652.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.