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Finding the Third Proportional to 85,617 and 136,354

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Solution

The third proportional to 85,617 and 136,354 is: 217,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,617 : 136,354 = 136,354 : x
  2. Step 2: Convert to fraction form
    85,617/136,354 = 136,354/x
  3. Step 3: Cross multiply
    85,617x = 136,354 × 136,354
  4. Step 4: Simplify right side
    85,617x = 18,592,413,316
  5. Step 5: Solve for x
    x = 18,592,413,316/85,617
  6. Step 6: Final answer
    x = 217,157.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.