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Finding the Third Proportional to 118,271 and 258,394

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Solution

The third proportional to 118,271 and 258,394 is: 564,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,271 : 258,394 = 258,394 : x
  2. Step 2: Convert to fraction form
    118,271/258,394 = 258,394/x
  3. Step 3: Cross multiply
    118,271x = 258,394 × 258,394
  4. Step 4: Simplify right side
    118,271x = 66,767,459,236
  5. Step 5: Solve for x
    x = 66,767,459,236/118,271
  6. Step 6: Final answer
    x = 564,529.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.