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Finding the Third Proportional to 306,203 and 656,702

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Solution

The third proportional to 306,203 and 656,702 is: 1,408,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,203 : 656,702 = 656,702 : x
  2. Step 2: Convert to fraction form
    306,203/656,702 = 656,702/x
  3. Step 3: Cross multiply
    306,203x = 656,702 × 656,702
  4. Step 4: Simplify right side
    306,203x = 431,257,516,804
  5. Step 5: Solve for x
    x = 431,257,516,804/306,203
  6. Step 6: Final answer
    x = 1,408,403.96

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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.