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Finding the Third Proportional to 163,728 and 253,584

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Solution

The third proportional to 163,728 and 253,584 is: 392,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 253,584 = 253,584 : x
  2. Step 2: Convert to fraction form
    163,728/253,584 = 253,584/x
  3. Step 3: Cross multiply
    163,728x = 253,584 × 253,584
  4. Step 4: Simplify right side
    163,728x = 64,304,845,056
  5. Step 5: Solve for x
    x = 64,304,845,056/163,728
  6. Step 6: Final answer
    x = 392,754.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.