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Finding the Third Proportional to 63,174 and 136,140

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Solution

The third proportional to 63,174 and 136,140 is: 293,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,174 : 136,140 = 136,140 : x
  2. Step 2: Convert to fraction form
    63,174/136,140 = 136,140/x
  3. Step 3: Cross multiply
    63,174x = 136,140 × 136,140
  4. Step 4: Simplify right side
    63,174x = 18,534,099,600
  5. Step 5: Solve for x
    x = 18,534,099,600/63,174
  6. Step 6: Final answer
    x = 293,381.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.