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Finding the Third Proportional to 309,070 and 477,615

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Solution

The third proportional to 309,070 and 477,615 is: 738,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,070 : 477,615 = 477,615 : x
  2. Step 2: Convert to fraction form
    309,070/477,615 = 477,615/x
  3. Step 3: Cross multiply
    309,070x = 477,615 × 477,615
  4. Step 4: Simplify right side
    309,070x = 228,116,088,225
  5. Step 5: Solve for x
    x = 228,116,088,225/309,070
  6. Step 6: Final answer
    x = 738,072.57

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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.