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Finding the Third Proportional to 280,232 and 385,348

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Solution

The third proportional to 280,232 and 385,348 is: 529,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,232 : 385,348 = 385,348 : x
  2. Step 2: Convert to fraction form
    280,232/385,348 = 385,348/x
  3. Step 3: Cross multiply
    280,232x = 385,348 × 385,348
  4. Step 4: Simplify right side
    280,232x = 148,493,081,104
  5. Step 5: Solve for x
    x = 148,493,081,104/280,232
  6. Step 6: Final answer
    x = 529,893.38

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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.