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Finding the Third Proportional to 143,775 and 312,742

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Solution

The third proportional to 143,775 and 312,742 is: 680,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,775 : 312,742 = 312,742 : x
  2. Step 2: Convert to fraction form
    143,775/312,742 = 312,742/x
  3. Step 3: Cross multiply
    143,775x = 312,742 × 312,742
  4. Step 4: Simplify right side
    143,775x = 97,807,558,564
  5. Step 5: Solve for x
    x = 97,807,558,564/143,775
  6. Step 6: Final answer
    x = 680,282.10

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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.