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Finding the Third Proportional to 153,811 and 337,865

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Solution

The third proportional to 153,811 and 337,865 is: 742,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811 : 337,865 = 337,865 : x
  2. Step 2: Convert to fraction form
    153,811/337,865 = 337,865/x
  3. Step 3: Cross multiply
    153,811x = 337,865 × 337,865
  4. Step 4: Simplify right side
    153,811x = 114,152,758,225
  5. Step 5: Solve for x
    x = 114,152,758,225/153,811
  6. Step 6: Final answer
    x = 742,162.51

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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.