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Finding the Third Proportional to 306,530 and 455,419

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Solution

The third proportional to 306,530 and 455,419 is: 676,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,530 : 455,419 = 455,419 : x
  2. Step 2: Convert to fraction form
    306,530/455,419 = 455,419/x
  3. Step 3: Cross multiply
    306,530x = 455,419 × 455,419
  4. Step 4: Simplify right side
    306,530x = 207,406,465,561
  5. Step 5: Solve for x
    x = 207,406,465,561/306,530
  6. Step 6: Final answer
    x = 676,626.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.