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Finding the Third Proportional to 143,271 and 312,786

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Solution

The third proportional to 143,271 and 312,786 is: 682,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,271 : 312,786 = 312,786 : x
  2. Step 2: Convert to fraction form
    143,271/312,786 = 312,786/x
  3. Step 3: Cross multiply
    143,271x = 312,786 × 312,786
  4. Step 4: Simplify right side
    143,271x = 97,835,081,796
  5. Step 5: Solve for x
    x = 97,835,081,796/143,271
  6. Step 6: Final answer
    x = 682,867.31

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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.