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Finding the Third Proportional to 170,474 and 358,920

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Solution

The third proportional to 170,474 and 358,920 is: 755,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,474 : 358,920 = 358,920 : x
  2. Step 2: Convert to fraction form
    170,474/358,920 = 358,920/x
  3. Step 3: Cross multiply
    170,474x = 358,920 × 358,920
  4. Step 4: Simplify right side
    170,474x = 128,823,566,400
  5. Step 5: Solve for x
    x = 128,823,566,400/170,474
  6. Step 6: Final answer
    x = 755,678.67

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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.