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Finding the Third Proportional to 278,964 and 405,486

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Solution

The third proportional to 278,964 and 405,486 is: 589,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,964 : 405,486 = 405,486 : x
  2. Step 2: Convert to fraction form
    278,964/405,486 = 405,486/x
  3. Step 3: Cross multiply
    278,964x = 405,486 × 405,486
  4. Step 4: Simplify right side
    278,964x = 164,418,896,196
  5. Step 5: Solve for x
    x = 164,418,896,196/278,964
  6. Step 6: Final answer
    x = 589,391.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.