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Finding the Third Proportional to 251,973 and 393,302.25

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Solution

The third proportional to 251,973 and 393,302.25 is: 613,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,973 : 393,302.25 = 393,302.25 : x
  2. Step 2: Convert to fraction form
    251,973/393,302.25 = 393,302.25/x
  3. Step 3: Cross multiply
    251,973x = 393,302.25 × 393,302.25
  4. Step 4: Simplify right side
    251,973x = 154,686,659,855.06
  5. Step 5: Solve for x
    x = 154,686,659,855.06/251,973
  6. Step 6: Final answer
    x = 613,901.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.