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Finding the Third Proportional to 299,241 and 639,953

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Solution

The third proportional to 299,241 and 639,953 is: 1,368,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,241 : 639,953 = 639,953 : x
  2. Step 2: Convert to fraction form
    299,241/639,953 = 639,953/x
  3. Step 3: Cross multiply
    299,241x = 639,953 × 639,953
  4. Step 4: Simplify right side
    299,241x = 409,539,842,209
  5. Step 5: Solve for x
    x = 409,539,842,209/299,241
  6. Step 6: Final answer
    x = 1,368,595.35

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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.