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Finding the Third Proportional to 100,955 and 155,645

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Solution

The third proportional to 100,955 and 155,645 is: 239,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955 : 155,645 = 155,645 : x
  2. Step 2: Convert to fraction form
    100,955/155,645 = 155,645/x
  3. Step 3: Cross multiply
    100,955x = 155,645 × 155,645
  4. Step 4: Simplify right side
    100,955x = 24,225,366,025
  5. Step 5: Solve for x
    x = 24,225,366,025/100,955
  6. Step 6: Final answer
    x = 239,962.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.