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Finding the Third Proportional to 321,489 and 679,428

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Solution

The third proportional to 321,489 and 679,428 is: 1,435,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,489 : 679,428 = 679,428 : x
  2. Step 2: Convert to fraction form
    321,489/679,428 = 679,428/x
  3. Step 3: Cross multiply
    321,489x = 679,428 × 679,428
  4. Step 4: Simplify right side
    321,489x = 461,622,407,184
  5. Step 5: Solve for x
    x = 461,622,407,184/321,489
  6. Step 6: Final answer
    x = 1,435,888.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.