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Finding the Third Proportional to 170,328 and 351,590

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Solution

The third proportional to 170,328 and 351,590 is: 725,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,328 : 351,590 = 351,590 : x
  2. Step 2: Convert to fraction form
    170,328/351,590 = 351,590/x
  3. Step 3: Cross multiply
    170,328x = 351,590 × 351,590
  4. Step 4: Simplify right side
    170,328x = 123,615,528,100
  5. Step 5: Solve for x
    x = 123,615,528,100/170,328
  6. Step 6: Final answer
    x = 725,749.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.