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Finding the Third Proportional to 542,542 and 1,178,489

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Solution

The third proportional to 542,542 and 1,178,489 is: 2,559,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,542 : 1,178,489 = 1,178,489 : x
  2. Step 2: Convert to fraction form
    542,542/1,178,489 = 1,178,489/x
  3. Step 3: Cross multiply
    542,542x = 1,178,489 × 1,178,489
  4. Step 4: Simplify right side
    542,542x = 1,388,836,323,121
  5. Step 5: Solve for x
    x = 1,388,836,323,121/542,542
  6. Step 6: Final answer
    x = 2,559,868.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.