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Finding the Third Proportional to 278,380 and 407,526

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Solution

The third proportional to 278,380 and 407,526 is: 596,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,380 : 407,526 = 407,526 : x
  2. Step 2: Convert to fraction form
    278,380/407,526 = 407,526/x
  3. Step 3: Cross multiply
    278,380x = 407,526 × 407,526
  4. Step 4: Simplify right side
    278,380x = 166,077,440,676
  5. Step 5: Solve for x
    x = 166,077,440,676/278,380
  6. Step 6: Final answer
    x = 596,585.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.