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Finding the Third Proportional to 147,242 and 320,260

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Solution

The third proportional to 147,242 and 320,260 is: 696,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,242 : 320,260 = 320,260 : x
  2. Step 2: Convert to fraction form
    147,242/320,260 = 320,260/x
  3. Step 3: Cross multiply
    147,242x = 320,260 × 320,260
  4. Step 4: Simplify right side
    147,242x = 102,566,467,600
  5. Step 5: Solve for x
    x = 102,566,467,600/147,242
  6. Step 6: Final answer
    x = 696,584.31

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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.