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Finding the Third Proportional to 309,460.50 and 470,512.55

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Solution

The third proportional to 309,460.50 and 470,512.55 is: 715,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,460.50 : 470,512.55 = 470,512.55 : x
  2. Step 2: Convert to fraction form
    309,460.50/470,512.55 = 470,512.55/x
  3. Step 3: Cross multiply
    309,460.50x = 470,512.55 × 470,512.55
  4. Step 4: Simplify right side
    309,460.50x = 221,382,056,766.80
  5. Step 5: Solve for x
    x = 221,382,056,766.80/309,460.50
  6. Step 6: Final answer
    x = 715,380.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.