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Finding the Third Proportional to 47,343 and 103,160.50

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Solution

The third proportional to 47,343 and 103,160.50 is: 224,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343 : 103,160.50 = 103,160.50 : x
  2. Step 2: Convert to fraction form
    47,343/103,160.50 = 103,160.50/x
  3. Step 3: Cross multiply
    47,343x = 103,160.50 × 103,160.50
  4. Step 4: Simplify right side
    47,343x = 10,642,088,760.25
  5. Step 5: Solve for x
    x = 10,642,088,760.25/47,343
  6. Step 6: Final answer
    x = 224,786.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.