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Finding the Third Proportional to 264,020 and 378,339

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Solution

The third proportional to 264,020 and 378,339 is: 542,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020 : 378,339 = 378,339 : x
  2. Step 2: Convert to fraction form
    264,020/378,339 = 378,339/x
  3. Step 3: Cross multiply
    264,020x = 378,339 × 378,339
  4. Step 4: Simplify right side
    264,020x = 143,140,398,921
  5. Step 5: Solve for x
    x = 143,140,398,921/264,020
  6. Step 6: Final answer
    x = 542,157.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.