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Finding the Third Proportional to 261,123 and 352,317

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Solution

The third proportional to 261,123 and 352,317 is: 475,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,123 : 352,317 = 352,317 : x
  2. Step 2: Convert to fraction form
    261,123/352,317 = 352,317/x
  3. Step 3: Cross multiply
    261,123x = 352,317 × 352,317
  4. Step 4: Simplify right side
    261,123x = 124,127,268,489
  5. Step 5: Solve for x
    x = 124,127,268,489/261,123
  6. Step 6: Final answer
    x = 475,359.38

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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.