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Finding the Third Proportional to 173,120 and 260,820

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Solution

The third proportional to 173,120 and 260,820 is: 392,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,120 : 260,820 = 260,820 : x
  2. Step 2: Convert to fraction form
    173,120/260,820 = 260,820/x
  3. Step 3: Cross multiply
    173,120x = 260,820 × 260,820
  4. Step 4: Simplify right side
    173,120x = 68,027,072,400
  5. Step 5: Solve for x
    x = 68,027,072,400/173,120
  6. Step 6: Final answer
    x = 392,947.51

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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.