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Finding the Third Proportional to 280,224 and 385,336

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Solution

The third proportional to 280,224 and 385,336 is: 529,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,224 : 385,336 = 385,336 : x
  2. Step 2: Convert to fraction form
    280,224/385,336 = 385,336/x
  3. Step 3: Cross multiply
    280,224x = 385,336 × 385,336
  4. Step 4: Simplify right side
    280,224x = 148,483,832,896
  5. Step 5: Solve for x
    x = 148,483,832,896/280,224
  6. Step 6: Final answer
    x = 529,875.50

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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.