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Finding the Third Proportional to 109,475 and 235,831

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Solution

The third proportional to 109,475 and 235,831 is: 508,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475 : 235,831 = 235,831 : x
  2. Step 2: Convert to fraction form
    109,475/235,831 = 235,831/x
  3. Step 3: Cross multiply
    109,475x = 235,831 × 235,831
  4. Step 4: Simplify right side
    109,475x = 55,616,260,561
  5. Step 5: Solve for x
    x = 55,616,260,561/109,475
  6. Step 6: Final answer
    x = 508,027.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.