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Finding the Third Proportional to 306,200 and 656,696

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Solution

The third proportional to 306,200 and 656,696 is: 1,408,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,200 : 656,696 = 656,696 : x
  2. Step 2: Convert to fraction form
    306,200/656,696 = 656,696/x
  3. Step 3: Cross multiply
    306,200x = 656,696 × 656,696
  4. Step 4: Simplify right side
    306,200x = 431,249,636,416
  5. Step 5: Solve for x
    x = 431,249,636,416/306,200
  6. Step 6: Final answer
    x = 1,408,392.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.