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Finding the Third Proportional to 299,430 and 646,836.75

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Solution

The third proportional to 299,430 and 646,836.75 is: 1,397,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 646,836.75 = 646,836.75 : x
  2. Step 2: Convert to fraction form
    299,430/646,836.75 = 646,836.75/x
  3. Step 3: Cross multiply
    299,430x = 646,836.75 × 646,836.75
  4. Step 4: Simplify right side
    299,430x = 418,397,781,150.56
  5. Step 5: Solve for x
    x = 418,397,781,150.56/299,430
  6. Step 6: Final answer
    x = 1,397,314.17

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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.