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Finding the Third Proportional to 85,402 and 136,431

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Solution

The third proportional to 85,402 and 136,431 is: 217,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402 : 136,431 = 136,431 : x
  2. Step 2: Convert to fraction form
    85,402/136,431 = 136,431/x
  3. Step 3: Cross multiply
    85,402x = 136,431 × 136,431
  4. Step 4: Simplify right side
    85,402x = 18,613,417,761
  5. Step 5: Solve for x
    x = 18,613,417,761/85,402
  6. Step 6: Final answer
    x = 217,950.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.