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Finding the Third Proportional to 8,419.10 and 19,836.77

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Solution

The third proportional to 8,419.10 and 19,836.77 is: 46,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.10 : 19,836.77 = 19,836.77 : x
  2. Step 2: Convert to fraction form
    8,419.10/19,836.77 = 19,836.77/x
  3. Step 3: Cross multiply
    8,419.10x = 19,836.77 × 19,836.77
  4. Step 4: Simplify right side
    8,419.10x = 393,497,580.41
  5. Step 5: Solve for x
    x = 393,497,580.41/8,419.10
  6. Step 6: Final answer
    x = 46,738.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.