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Finding the Third Proportional to 129,042 and 303,609

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Solution

The third proportional to 129,042 and 303,609 is: 714,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,042 : 303,609 = 303,609 : x
  2. Step 2: Convert to fraction form
    129,042/303,609 = 303,609/x
  3. Step 3: Cross multiply
    129,042x = 303,609 × 303,609
  4. Step 4: Simplify right side
    129,042x = 92,178,424,881
  5. Step 5: Solve for x
    x = 92,178,424,881/129,042
  6. Step 6: Final answer
    x = 714,328.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.