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Finding the Third Proportional to 258,470 and 548,200

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Solution

The third proportional to 258,470 and 548,200 is: 1,162,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,470 : 548,200 = 548,200 : x
  2. Step 2: Convert to fraction form
    258,470/548,200 = 548,200/x
  3. Step 3: Cross multiply
    258,470x = 548,200 × 548,200
  4. Step 4: Simplify right side
    258,470x = 300,523,240,000
  5. Step 5: Solve for x
    x = 300,523,240,000/258,470
  6. Step 6: Final answer
    x = 1,162,700.66

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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.