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Finding the Third Proportional to 280,455 and 608,232

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Solution

The third proportional to 280,455 and 608,232 is: 1,319,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,455 : 608,232 = 608,232 : x
  2. Step 2: Convert to fraction form
    280,455/608,232 = 608,232/x
  3. Step 3: Cross multiply
    280,455x = 608,232 × 608,232
  4. Step 4: Simplify right side
    280,455x = 369,946,165,824
  5. Step 5: Solve for x
    x = 369,946,165,824/280,455
  6. Step 6: Final answer
    x = 1,319,092.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.