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Finding the Third Proportional to 261,121 and 352,314

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Solution

The third proportional to 261,121 and 352,314 is: 475,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,121 : 352,314 = 352,314 : x
  2. Step 2: Convert to fraction form
    261,121/352,314 = 352,314/x
  3. Step 3: Cross multiply
    261,121x = 352,314 × 352,314
  4. Step 4: Simplify right side
    261,121x = 124,125,154,596
  5. Step 5: Solve for x
    x = 124,125,154,596/261,121
  6. Step 6: Final answer
    x = 475,354.93

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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.