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Finding the Third Proportional to 85,086 and 128,590

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Solution

The third proportional to 85,086 and 128,590 is: 194,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086 : 128,590 = 128,590 : x
  2. Step 2: Convert to fraction form
    85,086/128,590 = 128,590/x
  3. Step 3: Cross multiply
    85,086x = 128,590 × 128,590
  4. Step 4: Simplify right side
    85,086x = 16,535,388,100
  5. Step 5: Solve for x
    x = 16,535,388,100/85,086
  6. Step 6: Final answer
    x = 194,337.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.