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Finding the Third Proportional to 258,263 and 547,788

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Solution

The third proportional to 258,263 and 547,788 is: 1,161,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,263 : 547,788 = 547,788 : x
  2. Step 2: Convert to fraction form
    258,263/547,788 = 547,788/x
  3. Step 3: Cross multiply
    258,263x = 547,788 × 547,788
  4. Step 4: Simplify right side
    258,263x = 300,071,692,944
  5. Step 5: Solve for x
    x = 300,071,692,944/258,263
  6. Step 6: Final answer
    x = 1,161,884.18

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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.