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Finding the Third Proportional to 280,735.88 and 431,947.13

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Solution

The third proportional to 280,735.88 and 431,947.13 is: 664,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,735.88 : 431,947.13 = 431,947.13 : x
  2. Step 2: Convert to fraction form
    280,735.88/431,947.13 = 431,947.13/x
  3. Step 3: Cross multiply
    280,735.88x = 431,947.13 × 431,947.13
  4. Step 4: Simplify right side
    280,735.88x = 186,578,318,795.77
  5. Step 5: Solve for x
    x = 186,578,318,795.77/280,735.88
  6. Step 6: Final answer
    x = 664,604.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.