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Finding the Third Proportional to 258,466 and 547,620

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Solution

The third proportional to 258,466 and 547,620 is: 1,160,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,466 : 547,620 = 547,620 : x
  2. Step 2: Convert to fraction form
    258,466/547,620 = 547,620/x
  3. Step 3: Cross multiply
    258,466x = 547,620 × 547,620
  4. Step 4: Simplify right side
    258,466x = 299,887,664,400
  5. Step 5: Solve for x
    x = 299,887,664,400/258,466
  6. Step 6: Final answer
    x = 1,160,259.63

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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.