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Finding the Third Proportional to 299,216 and 645,986

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Solution

The third proportional to 299,216 and 645,986 is: 1,394,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,216 : 645,986 = 645,986 : x
  2. Step 2: Convert to fraction form
    299,216/645,986 = 645,986/x
  3. Step 3: Cross multiply
    299,216x = 645,986 × 645,986
  4. Step 4: Simplify right side
    299,216x = 417,297,912,196
  5. Step 5: Solve for x
    x = 417,297,912,196/299,216
  6. Step 6: Final answer
    x = 1,394,637.69

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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.