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Finding the Third Proportional to 173,370 and 257,409

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Solution

The third proportional to 173,370 and 257,409 is: 382,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,370 : 257,409 = 257,409 : x
  2. Step 2: Convert to fraction form
    173,370/257,409 = 257,409/x
  3. Step 3: Cross multiply
    173,370x = 257,409 × 257,409
  4. Step 4: Simplify right side
    173,370x = 66,259,393,281
  5. Step 5: Solve for x
    x = 66,259,393,281/173,370
  6. Step 6: Final answer
    x = 382,184.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.