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Finding the Third Proportional to 60,475.50 and 128,157.75

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Solution

The third proportional to 60,475.50 and 128,157.75 is: 271,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,475.50 : 128,157.75 = 128,157.75 : x
  2. Step 2: Convert to fraction form
    60,475.50/128,157.75 = 128,157.75/x
  3. Step 3: Cross multiply
    60,475.50x = 128,157.75 × 128,157.75
  4. Step 4: Simplify right side
    60,475.50x = 16,424,408,885.06
  5. Step 5: Solve for x
    x = 16,424,408,885.06/60,475.50
  6. Step 6: Final answer
    x = 271,587.81

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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.