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Finding the Third Proportional to 278,970 and 405,495

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Solution

The third proportional to 278,970 and 405,495 is: 589,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,970 : 405,495 = 405,495 : x
  2. Step 2: Convert to fraction form
    278,970/405,495 = 405,495/x
  3. Step 3: Cross multiply
    278,970x = 405,495 × 405,495
  4. Step 4: Simplify right side
    278,970x = 164,426,195,025
  5. Step 5: Solve for x
    x = 164,426,195,025/278,970
  6. Step 6: Final answer
    x = 589,404.58

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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.