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Finding the Third Proportional to 142,504 and 311,252

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Solution

The third proportional to 142,504 and 311,252 is: 679,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,504 : 311,252 = 311,252 : x
  2. Step 2: Convert to fraction form
    142,504/311,252 = 311,252/x
  3. Step 3: Cross multiply
    142,504x = 311,252 × 311,252
  4. Step 4: Simplify right side
    142,504x = 96,877,807,504
  5. Step 5: Solve for x
    x = 96,877,807,504/142,504
  6. Step 6: Final answer
    x = 679,825.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.