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Finding the Third Proportional to 128,531 and 268,699

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Solution

The third proportional to 128,531 and 268,699 is: 561,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,531 : 268,699 = 268,699 : x
  2. Step 2: Convert to fraction form
    128,531/268,699 = 268,699/x
  3. Step 3: Cross multiply
    128,531x = 268,699 × 268,699
  4. Step 4: Simplify right side
    128,531x = 72,199,152,601
  5. Step 5: Solve for x
    x = 72,199,152,601/128,531
  6. Step 6: Final answer
    x = 561,725.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.