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Finding the Third Proportional to 147,813 and 313,272

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Solution

The third proportional to 147,813 and 313,272 is: 663,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813 : 313,272 = 313,272 : x
  2. Step 2: Convert to fraction form
    147,813/313,272 = 313,272/x
  3. Step 3: Cross multiply
    147,813x = 313,272 × 313,272
  4. Step 4: Simplify right side
    147,813x = 98,139,345,984
  5. Step 5: Solve for x
    x = 98,139,345,984/147,813
  6. Step 6: Final answer
    x = 663,942.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.