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Finding the Third Proportional to 248,411 and 538,831

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Solution

The third proportional to 248,411 and 538,831 is: 1,168,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,411 : 538,831 = 538,831 : x
  2. Step 2: Convert to fraction form
    248,411/538,831 = 538,831/x
  3. Step 3: Cross multiply
    248,411x = 538,831 × 538,831
  4. Step 4: Simplify right side
    248,411x = 290,338,846,561
  5. Step 5: Solve for x
    x = 290,338,846,561/248,411
  6. Step 6: Final answer
    x = 1,168,784.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.