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Finding the Third Proportional to 143,506 and 312,846

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Solution

The third proportional to 143,506 and 312,846 is: 682,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,506 : 312,846 = 312,846 : x
  2. Step 2: Convert to fraction form
    143,506/312,846 = 312,846/x
  3. Step 3: Cross multiply
    143,506x = 312,846 × 312,846
  4. Step 4: Simplify right side
    143,506x = 97,872,619,716
  5. Step 5: Solve for x
    x = 97,872,619,716/143,506
  6. Step 6: Final answer
    x = 682,010.65

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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.