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Finding the Third Proportional to 161,531 and 355,152

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Solution

The third proportional to 161,531 and 355,152 is: 780,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,531 : 355,152 = 355,152 : x
  2. Step 2: Convert to fraction form
    161,531/355,152 = 355,152/x
  3. Step 3: Cross multiply
    161,531x = 355,152 × 355,152
  4. Step 4: Simplify right side
    161,531x = 126,132,943,104
  5. Step 5: Solve for x
    x = 126,132,943,104/161,531
  6. Step 6: Final answer
    x = 780,859.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.