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Finding the Third Proportional to 172,398 and 257,559

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Solution

The third proportional to 172,398 and 257,559 is: 384,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,398 : 257,559 = 257,559 : x
  2. Step 2: Convert to fraction form
    172,398/257,559 = 257,559/x
  3. Step 3: Cross multiply
    172,398x = 257,559 × 257,559
  4. Step 4: Simplify right side
    172,398x = 66,336,638,481
  5. Step 5: Solve for x
    x = 66,336,638,481/172,398
  6. Step 6: Final answer
    x = 384,787.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.