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Finding the Third Proportional to 299,727 and 620,223.75

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Solution

The third proportional to 299,727 and 620,223.75 is: 1,283,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727 : 620,223.75 = 620,223.75 : x
  2. Step 2: Convert to fraction form
    299,727/620,223.75 = 620,223.75/x
  3. Step 3: Cross multiply
    299,727x = 620,223.75 × 620,223.75
  4. Step 4: Simplify right side
    299,727x = 384,677,500,064.06
  5. Step 5: Solve for x
    x = 384,677,500,064.06/299,727
  6. Step 6: Final answer
    x = 1,283,426.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.