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Finding the Third Proportional to 155,852 and 338,270

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Solution

The third proportional to 155,852 and 338,270 is: 734,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,852 : 338,270 = 338,270 : x
  2. Step 2: Convert to fraction form
    155,852/338,270 = 338,270/x
  3. Step 3: Cross multiply
    155,852x = 338,270 × 338,270
  4. Step 4: Simplify right side
    155,852x = 114,426,592,900
  5. Step 5: Solve for x
    x = 114,426,592,900/155,852
  6. Step 6: Final answer
    x = 734,200.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.