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Finding the Third Proportional to 258,143 and 547,057

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Solution

The third proportional to 258,143 and 547,057 is: 1,159,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,143 : 547,057 = 547,057 : x
  2. Step 2: Convert to fraction form
    258,143/547,057 = 547,057/x
  3. Step 3: Cross multiply
    258,143x = 547,057 × 547,057
  4. Step 4: Simplify right side
    258,143x = 299,271,361,249
  5. Step 5: Solve for x
    x = 299,271,361,249/258,143
  6. Step 6: Final answer
    x = 1,159,323.95

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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.