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Finding the Third Proportional to 280,592.86 and 435,364.88

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Solution

The third proportional to 280,592.86 and 435,364.88 is: 675,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592.86 : 435,364.88 = 435,364.88 : x
  2. Step 2: Convert to fraction form
    280,592.86/435,364.88 = 435,364.88/x
  3. Step 3: Cross multiply
    280,592.86x = 435,364.88 × 435,364.88
  4. Step 4: Simplify right side
    280,592.86x = 189,542,574,383.77
  5. Step 5: Solve for x
    x = 189,542,574,383.77/280,592.86
  6. Step 6: Final answer
    x = 675,507.48

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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.