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Finding the Third Proportional to 170,318 and 370,372

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Solution

The third proportional to 170,318 and 370,372 is: 805,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,318 : 370,372 = 370,372 : x
  2. Step 2: Convert to fraction form
    170,318/370,372 = 370,372/x
  3. Step 3: Cross multiply
    170,318x = 370,372 × 370,372
  4. Step 4: Simplify right side
    170,318x = 137,175,418,384
  5. Step 5: Solve for x
    x = 137,175,418,384/170,318
  6. Step 6: Final answer
    x = 805,407.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.