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Finding the Third Proportional to 97,856 and 136,160

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Solution

The third proportional to 97,856 and 136,160 is: 189,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856 : 136,160 = 136,160 : x
  2. Step 2: Convert to fraction form
    97,856/136,160 = 136,160/x
  3. Step 3: Cross multiply
    97,856x = 136,160 × 136,160
  4. Step 4: Simplify right side
    97,856x = 18,539,545,600
  5. Step 5: Solve for x
    x = 18,539,545,600/97,856
  6. Step 6: Final answer
    x = 189,457.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.