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Finding the Third Proportional to 143,495 and 312,825

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Solution

The third proportional to 143,495 and 312,825 is: 681,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,495 : 312,825 = 312,825 : x
  2. Step 2: Convert to fraction form
    143,495/312,825 = 312,825/x
  3. Step 3: Cross multiply
    143,495x = 312,825 × 312,825
  4. Step 4: Simplify right side
    143,495x = 97,859,480,625
  5. Step 5: Solve for x
    x = 97,859,480,625/143,495
  6. Step 6: Final answer
    x = 681,971.36

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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.