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Finding the Third Proportional to 85,715 and 128,488

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Solution

The third proportional to 85,715 and 128,488 is: 192,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715 : 128,488 = 128,488 : x
  2. Step 2: Convert to fraction form
    85,715/128,488 = 128,488/x
  3. Step 3: Cross multiply
    85,715x = 128,488 × 128,488
  4. Step 4: Simplify right side
    85,715x = 16,509,166,144
  5. Step 5: Solve for x
    x = 16,509,166,144/85,715
  6. Step 6: Final answer
    x = 192,605.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.