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Finding the Third Proportional to 170,113 and 361,729

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Solution

The third proportional to 170,113 and 361,729 is: 769,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,113 : 361,729 = 361,729 : x
  2. Step 2: Convert to fraction form
    170,113/361,729 = 361,729/x
  3. Step 3: Cross multiply
    170,113x = 361,729 × 361,729
  4. Step 4: Simplify right side
    170,113x = 130,847,869,441
  5. Step 5: Solve for x
    x = 130,847,869,441/170,113
  6. Step 6: Final answer
    x = 769,182.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.