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Finding the Third Proportional to 255,477 and 542,079

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Solution

The third proportional to 255,477 and 542,079 is: 1,150,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,477 : 542,079 = 542,079 : x
  2. Step 2: Convert to fraction form
    255,477/542,079 = 542,079/x
  3. Step 3: Cross multiply
    255,477x = 542,079 × 542,079
  4. Step 4: Simplify right side
    255,477x = 293,849,642,241
  5. Step 5: Solve for x
    x = 293,849,642,241/255,477
  6. Step 6: Final answer
    x = 1,150,199.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.