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Finding the Third Proportional to 251,212 and 538,820

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Solution

The third proportional to 251,212 and 538,820 is: 1,155,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,212 : 538,820 = 538,820 : x
  2. Step 2: Convert to fraction form
    251,212/538,820 = 538,820/x
  3. Step 3: Cross multiply
    251,212x = 538,820 × 538,820
  4. Step 4: Simplify right side
    251,212x = 290,326,992,400
  5. Step 5: Solve for x
    x = 290,326,992,400/251,212
  6. Step 6: Final answer
    x = 1,155,705.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.