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Finding the Third Proportional to 145,084 and 318,680

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Solution

The third proportional to 145,084 and 318,680 is: 699,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,084 : 318,680 = 318,680 : x
  2. Step 2: Convert to fraction form
    145,084/318,680 = 318,680/x
  3. Step 3: Cross multiply
    145,084x = 318,680 × 318,680
  4. Step 4: Simplify right side
    145,084x = 101,556,942,400
  5. Step 5: Solve for x
    x = 101,556,942,400/145,084
  6. Step 6: Final answer
    x = 699,987.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.