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Finding the Third Proportional to 309,260 and 477,858

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Solution

The third proportional to 309,260 and 477,858 is: 738,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,260 : 477,858 = 477,858 : x
  2. Step 2: Convert to fraction form
    309,260/477,858 = 477,858/x
  3. Step 3: Cross multiply
    309,260x = 477,858 × 477,858
  4. Step 4: Simplify right side
    309,260x = 228,348,268,164
  5. Step 5: Solve for x
    x = 228,348,268,164/309,260
  6. Step 6: Final answer
    x = 738,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.