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Finding the Third Proportional to 342,602 and 737,696

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Solution

The third proportional to 342,602 and 737,696 is: 1,588,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,602 : 737,696 = 737,696 : x
  2. Step 2: Convert to fraction form
    342,602/737,696 = 737,696/x
  3. Step 3: Cross multiply
    342,602x = 737,696 × 737,696
  4. Step 4: Simplify right side
    342,602x = 544,195,388,416
  5. Step 5: Solve for x
    x = 544,195,388,416/342,602
  6. Step 6: Final answer
    x = 1,588,418.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.