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Finding the Third Proportional to 280,924 and 612,344

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Solution

The third proportional to 280,924 and 612,344 is: 1,334,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,924 : 612,344 = 612,344 : x
  2. Step 2: Convert to fraction form
    280,924/612,344 = 612,344/x
  3. Step 3: Cross multiply
    280,924x = 612,344 × 612,344
  4. Step 4: Simplify right side
    280,924x = 374,965,174,336
  5. Step 5: Solve for x
    x = 374,965,174,336/280,924
  6. Step 6: Final answer
    x = 1,334,756.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.