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Finding the Third Proportional to 119,432 and 257,512

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Solution

The third proportional to 119,432 and 257,512 is: 555,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,432 : 257,512 = 257,512 : x
  2. Step 2: Convert to fraction form
    119,432/257,512 = 257,512/x
  3. Step 3: Cross multiply
    119,432x = 257,512 × 257,512
  4. Step 4: Simplify right side
    119,432x = 66,312,430,144
  5. Step 5: Solve for x
    x = 66,312,430,144/119,432
  6. Step 6: Final answer
    x = 555,231.68

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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.