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Finding the Third Proportional to 307,170 and 458,388

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Solution

The third proportional to 307,170 and 458,388 is: 684,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,170 : 458,388 = 458,388 : x
  2. Step 2: Convert to fraction form
    307,170/458,388 = 458,388/x
  3. Step 3: Cross multiply
    307,170x = 458,388 × 458,388
  4. Step 4: Simplify right side
    307,170x = 210,119,558,544
  5. Step 5: Solve for x
    x = 210,119,558,544/307,170
  6. Step 6: Final answer
    x = 684,049.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.