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Finding the Third Proportional to 100,143.19 and 155,959.03

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Solution

The third proportional to 100,143.19 and 155,959.03 is: 242,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143.19 : 155,959.03 = 155,959.03 : x
  2. Step 2: Convert to fraction form
    100,143.19/155,959.03 = 155,959.03/x
  3. Step 3: Cross multiply
    100,143.19x = 155,959.03 × 155,959.03
  4. Step 4: Simplify right side
    100,143.19x = 24,323,219,428.44
  5. Step 5: Solve for x
    x = 24,323,219,428.44/100,143.19
  6. Step 6: Final answer
    x = 242,884.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.