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Finding the Third Proportional to 63,040 and 128,960

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Solution

The third proportional to 63,040 and 128,960 is: 263,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,040 : 128,960 = 128,960 : x
  2. Step 2: Convert to fraction form
    63,040/128,960 = 128,960/x
  3. Step 3: Cross multiply
    63,040x = 128,960 × 128,960
  4. Step 4: Simplify right side
    63,040x = 16,630,681,600
  5. Step 5: Solve for x
    x = 16,630,681,600/63,040
  6. Step 6: Final answer
    x = 263,811.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.