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Finding the Third Proportional to 253,824 and 380,786

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Solution

The third proportional to 253,824 and 380,786 is: 571,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,824 : 380,786 = 380,786 : x
  2. Step 2: Convert to fraction form
    253,824/380,786 = 380,786/x
  3. Step 3: Cross multiply
    253,824x = 380,786 × 380,786
  4. Step 4: Simplify right side
    253,824x = 144,997,977,796
  5. Step 5: Solve for x
    x = 144,997,977,796/253,824
  6. Step 6: Final answer
    x = 571,254.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.