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Finding the Third Proportional to 306,644 and 670,288

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Solution

The third proportional to 306,644 and 670,288 is: 1,465,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,644 : 670,288 = 670,288 : x
  2. Step 2: Convert to fraction form
    306,644/670,288 = 670,288/x
  3. Step 3: Cross multiply
    306,644x = 670,288 × 670,288
  4. Step 4: Simplify right side
    306,644x = 449,286,002,944
  5. Step 5: Solve for x
    x = 449,286,002,944/306,644
  6. Step 6: Final answer
    x = 1,465,171.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.