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Finding the Third Proportional to 279,531.63 and 613,977.88

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Solution

The third proportional to 279,531.63 and 613,977.88 is: 1,348,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,531.63 : 613,977.88 = 613,977.88 : x
  2. Step 2: Convert to fraction form
    279,531.63/613,977.88 = 613,977.88/x
  3. Step 3: Cross multiply
    279,531.63x = 613,977.88 × 613,977.88
  4. Step 4: Simplify right side
    279,531.63x = 376,968,830,989.52
  5. Step 5: Solve for x
    x = 376,968,830,989.52/279,531.63
  6. Step 6: Final answer
    x = 1,348,573.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.