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Finding the Third Proportional to 258,320 and 547,369

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Solution

The third proportional to 258,320 and 547,369 is: 1,159,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,320 : 547,369 = 547,369 : x
  2. Step 2: Convert to fraction form
    258,320/547,369 = 547,369/x
  3. Step 3: Cross multiply
    258,320x = 547,369 × 547,369
  4. Step 4: Simplify right side
    258,320x = 299,612,822,161
  5. Step 5: Solve for x
    x = 299,612,822,161/258,320
  6. Step 6: Final answer
    x = 1,159,851.43

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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.