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Finding the Third Proportional to 141,969 and 312,743

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Solution

The third proportional to 141,969 and 312,743 is: 688,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,969 : 312,743 = 312,743 : x
  2. Step 2: Convert to fraction form
    141,969/312,743 = 312,743/x
  3. Step 3: Cross multiply
    141,969x = 312,743 × 312,743
  4. Step 4: Simplify right side
    141,969x = 97,808,184,049
  5. Step 5: Solve for x
    x = 97,808,184,049/141,969
  6. Step 6: Final answer
    x = 688,940.43

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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.