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Finding the Third Proportional to 307,166 and 458,380

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Solution

The third proportional to 307,166 and 458,380 is: 684,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,166 : 458,380 = 458,380 : x
  2. Step 2: Convert to fraction form
    307,166/458,380 = 458,380/x
  3. Step 3: Cross multiply
    307,166x = 458,380 × 458,380
  4. Step 4: Simplify right side
    307,166x = 210,112,224,400
  5. Step 5: Solve for x
    x = 210,112,224,400/307,166
  6. Step 6: Final answer
    x = 684,034.77

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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.