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Finding the Third Proportional to 278,378.63 and 430,361.25

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Solution

The third proportional to 278,378.63 and 430,361.25 is: 665,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,378.63 : 430,361.25 = 430,361.25 : x
  2. Step 2: Convert to fraction form
    278,378.63/430,361.25 = 430,361.25/x
  3. Step 3: Cross multiply
    278,378.63x = 430,361.25 × 430,361.25
  4. Step 4: Simplify right side
    278,378.63x = 185,210,805,501.56
  5. Step 5: Solve for x
    x = 185,210,805,501.56/278,378.63
  6. Step 6: Final answer
    x = 665,319.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.