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Finding the Third Proportional to 102,405 and 149,710

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Solution

The third proportional to 102,405 and 149,710 is: 218,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405 : 149,710 = 149,710 : x
  2. Step 2: Convert to fraction form
    102,405/149,710 = 149,710/x
  3. Step 3: Cross multiply
    102,405x = 149,710 × 149,710
  4. Step 4: Simplify right side
    102,405x = 22,413,084,100
  5. Step 5: Solve for x
    x = 22,413,084,100/102,405
  6. Step 6: Final answer
    x = 218,867.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.