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Finding the Third Proportional to 71,412 and 102,018

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Solution

The third proportional to 71,412 and 102,018 is: 145,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 102,018 = 102,018 : x
  2. Step 2: Convert to fraction form
    71,412/102,018 = 102,018/x
  3. Step 3: Cross multiply
    71,412x = 102,018 × 102,018
  4. Step 4: Simplify right side
    71,412x = 10,407,672,324
  5. Step 5: Solve for x
    x = 10,407,672,324/71,412
  6. Step 6: Final answer
    x = 145,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.