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Finding the Third Proportional to 100,907 and 156,281

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Solution

The third proportional to 100,907 and 156,281 is: 242,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907 : 156,281 = 156,281 : x
  2. Step 2: Convert to fraction form
    100,907/156,281 = 156,281/x
  3. Step 3: Cross multiply
    100,907x = 156,281 × 156,281
  4. Step 4: Simplify right side
    100,907x = 24,423,750,961
  5. Step 5: Solve for x
    x = 24,423,750,961/100,907
  6. Step 6: Final answer
    x = 242,042.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.