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Finding the Third Proportional to 389,680 and 609,126

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Solution

The third proportional to 389,680 and 609,126 is: 952,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,680 : 609,126 = 609,126 : x
  2. Step 2: Convert to fraction form
    389,680/609,126 = 609,126/x
  3. Step 3: Cross multiply
    389,680x = 609,126 × 609,126
  4. Step 4: Simplify right side
    389,680x = 371,034,483,876
  5. Step 5: Solve for x
    x = 371,034,483,876/389,680
  6. Step 6: Final answer
    x = 952,151.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.