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Finding the Third Proportional to 258,517 and 546,838

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Solution

The third proportional to 258,517 and 546,838 is: 1,156,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,517 : 546,838 = 546,838 : x
  2. Step 2: Convert to fraction form
    258,517/546,838 = 546,838/x
  3. Step 3: Cross multiply
    258,517x = 546,838 × 546,838
  4. Step 4: Simplify right side
    258,517x = 299,031,798,244
  5. Step 5: Solve for x
    x = 299,031,798,244/258,517
  6. Step 6: Final answer
    x = 1,156,720.05

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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.