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Finding the Third Proportional to 255,787 and 542,745

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Solution

The third proportional to 255,787 and 542,745 is: 1,151,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,787 : 542,745 = 542,745 : x
  2. Step 2: Convert to fraction form
    255,787/542,745 = 542,745/x
  3. Step 3: Cross multiply
    255,787x = 542,745 × 542,745
  4. Step 4: Simplify right side
    255,787x = 294,572,135,025
  5. Step 5: Solve for x
    x = 294,572,135,025/255,787
  6. Step 6: Final answer
    x = 1,151,630.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.