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Finding the Third Proportional to 542,427 and 1,181,289

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Solution

The third proportional to 542,427 and 1,181,289 is: 2,572,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,427 : 1,181,289 = 1,181,289 : x
  2. Step 2: Convert to fraction form
    542,427/1,181,289 = 1,181,289/x
  3. Step 3: Cross multiply
    542,427x = 1,181,289 × 1,181,289
  4. Step 4: Simplify right side
    542,427x = 1,395,443,701,521
  5. Step 5: Solve for x
    x = 1,395,443,701,521/542,427
  6. Step 6: Final answer
    x = 2,572,592.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.