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Finding the Third Proportional to 306,074 and 661,329

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Solution

The third proportional to 306,074 and 661,329 is: 1,428,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,074 : 661,329 = 661,329 : x
  2. Step 2: Convert to fraction form
    306,074/661,329 = 661,329/x
  3. Step 3: Cross multiply
    306,074x = 661,329 × 661,329
  4. Step 4: Simplify right side
    306,074x = 437,356,046,241
  5. Step 5: Solve for x
    x = 437,356,046,241/306,074
  6. Step 6: Final answer
    x = 1,428,922.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.