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Finding the Third Proportional to 161,575 and 355,711

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Solution

The third proportional to 161,575 and 355,711 is: 783,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,575 : 355,711 = 355,711 : x
  2. Step 2: Convert to fraction form
    161,575/355,711 = 355,711/x
  3. Step 3: Cross multiply
    161,575x = 355,711 × 355,711
  4. Step 4: Simplify right side
    161,575x = 126,530,315,521
  5. Step 5: Solve for x
    x = 126,530,315,521/161,575
  6. Step 6: Final answer
    x = 783,105.77

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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.