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Finding the Third Proportional to 170,392 and 351,709

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Solution

The third proportional to 170,392 and 351,709 is: 725,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,392 : 351,709 = 351,709 : x
  2. Step 2: Convert to fraction form
    170,392/351,709 = 351,709/x
  3. Step 3: Cross multiply
    170,392x = 351,709 × 351,709
  4. Step 4: Simplify right side
    170,392x = 123,699,220,681
  5. Step 5: Solve for x
    x = 123,699,220,681/170,392
  6. Step 6: Final answer
    x = 725,968.48

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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.