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Finding the Third Proportional to 261,128 and 352,324

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Solution

The third proportional to 261,128 and 352,324 is: 475,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,128 : 352,324 = 352,324 : x
  2. Step 2: Convert to fraction form
    261,128/352,324 = 352,324/x
  3. Step 3: Cross multiply
    261,128x = 352,324 × 352,324
  4. Step 4: Simplify right side
    261,128x = 124,132,200,976
  5. Step 5: Solve for x
    x = 124,132,200,976/261,128
  6. Step 6: Final answer
    x = 475,369.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.