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Finding the Third Proportional to 239,155 and 354,115

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Solution

The third proportional to 239,155 and 354,115 is: 524,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,155 : 354,115 = 354,115 : x
  2. Step 2: Convert to fraction form
    239,155/354,115 = 354,115/x
  3. Step 3: Cross multiply
    239,155x = 354,115 × 354,115
  4. Step 4: Simplify right side
    239,155x = 125,397,433,225
  5. Step 5: Solve for x
    x = 125,397,433,225/239,155
  6. Step 6: Final answer
    x = 524,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.