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Finding the Third Proportional to 253,268,287.88 and 378,411,443.44

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Solution

The third proportional to 253,268,287.88 and 378,411,443.44 is: 565,389,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,268,287.88 : 378,411,443.44 = 378,411,443.44 : x
  2. Step 2: Convert to fraction form
    253,268,287.88/378,411,443.44 = 378,411,443.44/x
  3. Step 3: Cross multiply
    253,268,287.88x = 378,411,443.44 × 378,411,443.44
  4. Step 4: Simplify right side
    253,268,287.88x = 143,195,220,524,452,256
  5. Step 5: Solve for x
    x = 143,195,220,524,452,256/253,268,287.88
  6. Step 6: Final answer
    x = 565,389,460.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.