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Finding the Third Proportional to 299,988 and 633,708

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Solution

The third proportional to 299,988 and 633,708 is: 1,338,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,988 : 633,708 = 633,708 : x
  2. Step 2: Convert to fraction form
    299,988/633,708 = 633,708/x
  3. Step 3: Cross multiply
    299,988x = 633,708 × 633,708
  4. Step 4: Simplify right side
    299,988x = 401,585,829,264
  5. Step 5: Solve for x
    x = 401,585,829,264/299,988
  6. Step 6: Final answer
    x = 1,338,672.98

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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.