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Finding the Third Proportional to 228,100 and 357,815

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Solution

The third proportional to 228,100 and 357,815 is: 561,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,100 : 357,815 = 357,815 : x
  2. Step 2: Convert to fraction form
    228,100/357,815 = 357,815/x
  3. Step 3: Cross multiply
    228,100x = 357,815 × 357,815
  4. Step 4: Simplify right side
    228,100x = 128,031,574,225
  5. Step 5: Solve for x
    x = 128,031,574,225/228,100
  6. Step 6: Final answer
    x = 561,295.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.