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Finding the Third Proportional to 257,575.13 and 378,645

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Solution

The third proportional to 257,575.13 and 378,645 is: 556,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,575.13 : 378,645 = 378,645 : x
  2. Step 2: Convert to fraction form
    257,575.13/378,645 = 378,645/x
  3. Step 3: Cross multiply
    257,575.13x = 378,645 × 378,645
  4. Step 4: Simplify right side
    257,575.13x = 143,372,036,025
  5. Step 5: Solve for x
    x = 143,372,036,025/257,575.13
  6. Step 6: Final answer
    x = 556,622.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.