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Finding the Third Proportional to 109,419 and 235,470

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Solution

The third proportional to 109,419 and 235,470 is: 506,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419 : 235,470 = 235,470 : x
  2. Step 2: Convert to fraction form
    109,419/235,470 = 235,470/x
  3. Step 3: Cross multiply
    109,419x = 235,470 × 235,470
  4. Step 4: Simplify right side
    109,419x = 55,446,120,900
  5. Step 5: Solve for x
    x = 55,446,120,900/109,419
  6. Step 6: Final answer
    x = 506,732.11

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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.