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Finding the Third Proportional to 143,656 and 312,189

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Solution

The third proportional to 143,656 and 312,189 is: 678,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,656 : 312,189 = 312,189 : x
  2. Step 2: Convert to fraction form
    143,656/312,189 = 312,189/x
  3. Step 3: Cross multiply
    143,656x = 312,189 × 312,189
  4. Step 4: Simplify right side
    143,656x = 97,461,971,721
  5. Step 5: Solve for x
    x = 97,461,971,721/143,656
  6. Step 6: Final answer
    x = 678,439.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.