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Finding the Third Proportional to 119,430 and 180,489

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Solution

The third proportional to 119,430 and 180,489 is: 272,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,430 : 180,489 = 180,489 : x
  2. Step 2: Convert to fraction form
    119,430/180,489 = 180,489/x
  3. Step 3: Cross multiply
    119,430x = 180,489 × 180,489
  4. Step 4: Simplify right side
    119,430x = 32,576,279,121
  5. Step 5: Solve for x
    x = 32,576,279,121/119,430
  6. Step 6: Final answer
    x = 272,764.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.