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Finding the Third Proportional to 280,208 and 385,320

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Solution

The third proportional to 280,208 and 385,320 is: 529,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,208 : 385,320 = 385,320 : x
  2. Step 2: Convert to fraction form
    280,208/385,320 = 385,320/x
  3. Step 3: Cross multiply
    280,208x = 385,320 × 385,320
  4. Step 4: Simplify right side
    280,208x = 148,471,502,400
  5. Step 5: Solve for x
    x = 148,471,502,400/280,208
  6. Step 6: Final answer
    x = 529,861.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.