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Finding the Third Proportional to 60,977 and 128,596

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Solution

The third proportional to 60,977 and 128,596 is: 271,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,977 : 128,596 = 128,596 : x
  2. Step 2: Convert to fraction form
    60,977/128,596 = 128,596/x
  3. Step 3: Cross multiply
    60,977x = 128,596 × 128,596
  4. Step 4: Simplify right side
    60,977x = 16,536,931,216
  5. Step 5: Solve for x
    x = 16,536,931,216/60,977
  6. Step 6: Final answer
    x = 271,199.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.