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Finding the Third Proportional to 259,928 and 392,724

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Solution

The third proportional to 259,928 and 392,724 is: 593,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,928 : 392,724 = 392,724 : x
  2. Step 2: Convert to fraction form
    259,928/392,724 = 392,724/x
  3. Step 3: Cross multiply
    259,928x = 392,724 × 392,724
  4. Step 4: Simplify right side
    259,928x = 154,232,140,176
  5. Step 5: Solve for x
    x = 154,232,140,176/259,928
  6. Step 6: Final answer
    x = 593,364.86

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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.