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Finding the Third Proportional to 192,498 and 310,128

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Solution

The third proportional to 192,498 and 310,128 is: 499,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,498 : 310,128 = 310,128 : x
  2. Step 2: Convert to fraction form
    192,498/310,128 = 310,128/x
  3. Step 3: Cross multiply
    192,498x = 310,128 × 310,128
  4. Step 4: Simplify right side
    192,498x = 96,179,376,384
  5. Step 5: Solve for x
    x = 96,179,376,384/192,498
  6. Step 6: Final answer
    x = 499,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.