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Finding the Third Proportional to 148,691 and 307,678

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Solution

The third proportional to 148,691 and 307,678 is: 636,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,691 : 307,678 = 307,678 : x
  2. Step 2: Convert to fraction form
    148,691/307,678 = 307,678/x
  3. Step 3: Cross multiply
    148,691x = 307,678 × 307,678
  4. Step 4: Simplify right side
    148,691x = 94,665,751,684
  5. Step 5: Solve for x
    x = 94,665,751,684/148,691
  6. Step 6: Final answer
    x = 636,660.94

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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.