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Finding the Third Proportional to 309,852 and 678,666

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Solution

The third proportional to 309,852 and 678,666 is: 1,486,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,852 : 678,666 = 678,666 : x
  2. Step 2: Convert to fraction form
    309,852/678,666 = 678,666/x
  3. Step 3: Cross multiply
    309,852x = 678,666 × 678,666
  4. Step 4: Simplify right side
    309,852x = 460,587,539,556
  5. Step 5: Solve for x
    x = 460,587,539,556/309,852
  6. Step 6: Final answer
    x = 1,486,475.93

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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.