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Finding the Third Proportional to 251,400 and 542,157

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Solution

The third proportional to 251,400 and 542,157 is: 1,169,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,400 : 542,157 = 542,157 : x
  2. Step 2: Convert to fraction form
    251,400/542,157 = 542,157/x
  3. Step 3: Cross multiply
    251,400x = 542,157 × 542,157
  4. Step 4: Simplify right side
    251,400x = 293,934,212,649
  5. Step 5: Solve for x
    x = 293,934,212,649/251,400
  6. Step 6: Final answer
    x = 1,169,189.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.