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Finding the Third Proportional to 149,710 and 238,089

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Solution

The third proportional to 149,710 and 238,089 is: 378,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,710 : 238,089 = 238,089 : x
  2. Step 2: Convert to fraction form
    149,710/238,089 = 238,089/x
  3. Step 3: Cross multiply
    149,710x = 238,089 × 238,089
  4. Step 4: Simplify right side
    149,710x = 56,686,371,921
  5. Step 5: Solve for x
    x = 56,686,371,921/149,710
  6. Step 6: Final answer
    x = 378,641.19

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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.