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Finding the Third Proportional to 262,471 and 542,438

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Solution

The third proportional to 262,471 and 542,438 is: 1,121,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,471 : 542,438 = 542,438 : x
  2. Step 2: Convert to fraction form
    262,471/542,438 = 542,438/x
  3. Step 3: Cross multiply
    262,471x = 542,438 × 542,438
  4. Step 4: Simplify right side
    262,471x = 294,238,983,844
  5. Step 5: Solve for x
    x = 294,238,983,844/262,471
  6. Step 6: Final answer
    x = 1,121,034.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.