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Finding the Third Proportional to 280,480 and 435,126

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Solution

The third proportional to 280,480 and 435,126 is: 675,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480 : 435,126 = 435,126 : x
  2. Step 2: Convert to fraction form
    280,480/435,126 = 435,126/x
  3. Step 3: Cross multiply
    280,480x = 435,126 × 435,126
  4. Step 4: Simplify right side
    280,480x = 189,334,635,876
  5. Step 5: Solve for x
    x = 189,334,635,876/280,480
  6. Step 6: Final answer
    x = 675,037.92

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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.