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Finding the Third Proportional to 60,100 and 128,539

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Solution

The third proportional to 60,100 and 128,539 is: 274,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,100 : 128,539 = 128,539 : x
  2. Step 2: Convert to fraction form
    60,100/128,539 = 128,539/x
  3. Step 3: Cross multiply
    60,100x = 128,539 × 128,539
  4. Step 4: Simplify right side
    60,100x = 16,522,274,521
  5. Step 5: Solve for x
    x = 16,522,274,521/60,100
  6. Step 6: Final answer
    x = 274,913.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.