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Finding the Third Proportional to 255,538 and 543,854

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Solution

The third proportional to 255,538 and 543,854 is: 1,157,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538 : 543,854 = 543,854 : x
  2. Step 2: Convert to fraction form
    255,538/543,854 = 543,854/x
  3. Step 3: Cross multiply
    255,538x = 543,854 × 543,854
  4. Step 4: Simplify right side
    255,538x = 295,777,173,316
  5. Step 5: Solve for x
    x = 295,777,173,316/255,538
  6. Step 6: Final answer
    x = 1,157,468.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.