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Finding the Third Proportional to 148,608 and 317,376

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Solution

The third proportional to 148,608 and 317,376 is: 677,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608 : 317,376 = 317,376 : x
  2. Step 2: Convert to fraction form
    148,608/317,376 = 317,376/x
  3. Step 3: Cross multiply
    148,608x = 317,376 × 317,376
  4. Step 4: Simplify right side
    148,608x = 100,727,525,376
  5. Step 5: Solve for x
    x = 100,727,525,376/148,608
  6. Step 6: Final answer
    x = 677,806.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.