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Finding the Third Proportional to 63,137 and 128,450

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Solution

The third proportional to 63,137 and 128,450 is: 261,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,137 : 128,450 = 128,450 : x
  2. Step 2: Convert to fraction form
    63,137/128,450 = 128,450/x
  3. Step 3: Cross multiply
    63,137x = 128,450 × 128,450
  4. Step 4: Simplify right side
    63,137x = 16,499,402,500
  5. Step 5: Solve for x
    x = 16,499,402,500/63,137
  6. Step 6: Final answer
    x = 261,327.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.