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Finding the Third Proportional to 140,436 and 303,348

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Solution

The third proportional to 140,436 and 303,348 is: 655,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,436 : 303,348 = 303,348 : x
  2. Step 2: Convert to fraction form
    140,436/303,348 = 303,348/x
  3. Step 3: Cross multiply
    140,436x = 303,348 × 303,348
  4. Step 4: Simplify right side
    140,436x = 92,020,009,104
  5. Step 5: Solve for x
    x = 92,020,009,104/140,436
  6. Step 6: Final answer
    x = 655,245.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.