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Finding the Third Proportional to 228,719 and 355,535

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Solution

The third proportional to 228,719 and 355,535 is: 552,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,719 : 355,535 = 355,535 : x
  2. Step 2: Convert to fraction form
    228,719/355,535 = 355,535/x
  3. Step 3: Cross multiply
    228,719x = 355,535 × 355,535
  4. Step 4: Simplify right side
    228,719x = 126,405,136,225
  5. Step 5: Solve for x
    x = 126,405,136,225/228,719
  6. Step 6: Final answer
    x = 552,665.66

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Why These Related Problems?

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