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Finding the Third Proportional to 148,258 and 315,310

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Solution

The third proportional to 148,258 and 315,310 is: 670,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,258 : 315,310 = 315,310 : x
  2. Step 2: Convert to fraction form
    148,258/315,310 = 315,310/x
  3. Step 3: Cross multiply
    148,258x = 315,310 × 315,310
  4. Step 4: Simplify right side
    148,258x = 99,420,396,100
  5. Step 5: Solve for x
    x = 99,420,396,100/148,258
  6. Step 6: Final answer
    x = 670,590.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.