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Finding the Third Proportional to 143,774 and 312,740

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Solution

The third proportional to 143,774 and 312,740 is: 680,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,774 : 312,740 = 312,740 : x
  2. Step 2: Convert to fraction form
    143,774/312,740 = 312,740/x
  3. Step 3: Cross multiply
    143,774x = 312,740 × 312,740
  4. Step 4: Simplify right side
    143,774x = 97,806,307,600
  5. Step 5: Solve for x
    x = 97,806,307,600/143,774
  6. Step 6: Final answer
    x = 680,278.13

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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.