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Finding the Third Proportional to 148,898 and 314,356

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Solution

The third proportional to 148,898 and 314,356 is: 663,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,898 : 314,356 = 314,356 : x
  2. Step 2: Convert to fraction form
    148,898/314,356 = 314,356/x
  3. Step 3: Cross multiply
    148,898x = 314,356 × 314,356
  4. Step 4: Simplify right side
    148,898x = 98,819,694,736
  5. Step 5: Solve for x
    x = 98,819,694,736/148,898
  6. Step 6: Final answer
    x = 663,673.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.