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Finding the Third Proportional to 161,857 and 355,835

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Solution

The third proportional to 161,857 and 355,835 is: 782,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,857 : 355,835 = 355,835 : x
  2. Step 2: Convert to fraction form
    161,857/355,835 = 355,835/x
  3. Step 3: Cross multiply
    161,857x = 355,835 × 355,835
  4. Step 4: Simplify right side
    161,857x = 126,618,547,225
  5. Step 5: Solve for x
    x = 126,618,547,225/161,857
  6. Step 6: Final answer
    x = 782,286.51

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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.