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Finding the Third Proportional to 143,773 and 312,738

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Solution

The third proportional to 143,773 and 312,738 is: 680,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,773 : 312,738 = 312,738 : x
  2. Step 2: Convert to fraction form
    143,773/312,738 = 312,738/x
  3. Step 3: Cross multiply
    143,773x = 312,738 × 312,738
  4. Step 4: Simplify right side
    143,773x = 97,805,056,644
  5. Step 5: Solve for x
    x = 97,805,056,644/143,773
  6. Step 6: Final answer
    x = 680,274.16

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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.