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Finding the Third Proportional to 312,813 and 738,279

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Solution

The third proportional to 312,813 and 738,279 is: 1,742,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,813 : 738,279 = 738,279 : x
  2. Step 2: Convert to fraction form
    312,813/738,279 = 738,279/x
  3. Step 3: Cross multiply
    312,813x = 738,279 × 738,279
  4. Step 4: Simplify right side
    312,813x = 545,055,881,841
  5. Step 5: Solve for x
    x = 545,055,881,841/312,813
  6. Step 6: Final answer
    x = 1,742,433.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.