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Finding the Third Proportional to 306,621 and 670,242

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Solution

The third proportional to 306,621 and 670,242 is: 1,465,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,621 : 670,242 = 670,242 : x
  2. Step 2: Convert to fraction form
    306,621/670,242 = 670,242/x
  3. Step 3: Cross multiply
    306,621x = 670,242 × 670,242
  4. Step 4: Simplify right side
    306,621x = 449,224,338,564
  5. Step 5: Solve for x
    x = 449,224,338,564/306,621
  6. Step 6: Final answer
    x = 1,465,080.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.