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Finding the Third Proportional to 85,658 and 136,407

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Solution

The third proportional to 85,658 and 136,407 is: 217,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,658 : 136,407 = 136,407 : x
  2. Step 2: Convert to fraction form
    85,658/136,407 = 136,407/x
  3. Step 3: Cross multiply
    85,658x = 136,407 × 136,407
  4. Step 4: Simplify right side
    85,658x = 18,606,869,649
  5. Step 5: Solve for x
    x = 18,606,869,649/85,658
  6. Step 6: Final answer
    x = 217,222.79

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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.