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Finding the Third Proportional to 299,650 and 643,770

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Solution

The third proportional to 299,650 and 643,770 is: 1,383,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,650 : 643,770 = 643,770 : x
  2. Step 2: Convert to fraction form
    299,650/643,770 = 643,770/x
  3. Step 3: Cross multiply
    299,650x = 643,770 × 643,770
  4. Step 4: Simplify right side
    299,650x = 414,439,812,900
  5. Step 5: Solve for x
    x = 414,439,812,900/299,650
  6. Step 6: Final answer
    x = 1,383,079.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.