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Finding the Third Proportional to 306,840 and 656,322

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Solution

The third proportional to 306,840 and 656,322 is: 1,403,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,840 : 656,322 = 656,322 : x
  2. Step 2: Convert to fraction form
    306,840/656,322 = 656,322/x
  3. Step 3: Cross multiply
    306,840x = 656,322 × 656,322
  4. Step 4: Simplify right side
    306,840x = 430,758,567,684
  5. Step 5: Solve for x
    x = 430,758,567,684/306,840
  6. Step 6: Final answer
    x = 1,403,854.02

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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.