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Finding the Third Proportional to 141,968 and 312,742

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Solution

The third proportional to 141,968 and 312,742 is: 688,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,968 : 312,742 = 312,742 : x
  2. Step 2: Convert to fraction form
    141,968/312,742 = 312,742/x
  3. Step 3: Cross multiply
    141,968x = 312,742 × 312,742
  4. Step 4: Simplify right side
    141,968x = 97,807,558,564
  5. Step 5: Solve for x
    x = 97,807,558,564/141,968
  6. Step 6: Final answer
    x = 688,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.