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Finding the Third Proportional to 299,918 and 633,550

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Solution

The third proportional to 299,918 and 633,550 is: 1,338,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,918 : 633,550 = 633,550 : x
  2. Step 2: Convert to fraction form
    299,918/633,550 = 633,550/x
  3. Step 3: Cross multiply
    299,918x = 633,550 × 633,550
  4. Step 4: Simplify right side
    299,918x = 401,385,602,500
  5. Step 5: Solve for x
    x = 401,385,602,500/299,918
  6. Step 6: Final answer
    x = 1,338,317.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.