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Finding the Third Proportional to 258,438 and 547,562

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Solution

The third proportional to 258,438 and 547,562 is: 1,160,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,438 : 547,562 = 547,562 : x
  2. Step 2: Convert to fraction form
    258,438/547,562 = 547,562/x
  3. Step 3: Cross multiply
    258,438x = 547,562 × 547,562
  4. Step 4: Simplify right side
    258,438x = 299,824,143,844
  5. Step 5: Solve for x
    x = 299,824,143,844/258,438
  6. Step 6: Final answer
    x = 1,160,139.55

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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.