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Finding the Third Proportional to 148,317 and 307,149

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Solution

The third proportional to 148,317 and 307,149 is: 636,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,317 : 307,149 = 307,149 : x
  2. Step 2: Convert to fraction form
    148,317/307,149 = 307,149/x
  3. Step 3: Cross multiply
    148,317x = 307,149 × 307,149
  4. Step 4: Simplify right side
    148,317x = 94,340,508,201
  5. Step 5: Solve for x
    x = 94,340,508,201/148,317
  6. Step 6: Final answer
    x = 636,073.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.