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Finding the Third Proportional to 251,706 and 380,783

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Solution

The third proportional to 251,706 and 380,783 is: 576,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,706 : 380,783 = 380,783 : x
  2. Step 2: Convert to fraction form
    251,706/380,783 = 380,783/x
  3. Step 3: Cross multiply
    251,706x = 380,783 × 380,783
  4. Step 4: Simplify right side
    251,706x = 144,995,693,089
  5. Step 5: Solve for x
    x = 144,995,693,089/251,706
  6. Step 6: Final answer
    x = 576,051.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.