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Finding the Third Proportional to 538,849.13 and 808,351.31

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Solution

The third proportional to 538,849.13 and 808,351.31 is: 1,212,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,849.13 : 808,351.31 = 808,351.31 : x
  2. Step 2: Convert to fraction form
    538,849.13/808,351.31 = 808,351.31/x
  3. Step 3: Cross multiply
    538,849.13x = 808,351.31 × 808,351.31
  4. Step 4: Simplify right side
    538,849.13x = 653,431,844,420.47
  5. Step 5: Solve for x
    x = 653,431,844,420.47/538,849.13
  6. Step 6: Final answer
    x = 1,212,643.42

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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.