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Finding the Third Proportional to 171,653 and 256,507

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Solution

The third proportional to 171,653 and 256,507 is: 383,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,653 : 256,507 = 256,507 : x
  2. Step 2: Convert to fraction form
    171,653/256,507 = 256,507/x
  3. Step 3: Cross multiply
    171,653x = 256,507 × 256,507
  4. Step 4: Simplify right side
    171,653x = 65,795,841,049
  5. Step 5: Solve for x
    x = 65,795,841,049/171,653
  6. Step 6: Final answer
    x = 383,307.26

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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.