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Finding the Third Proportional to 15,789 and 34,710

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Solution

The third proportional to 15,789 and 34,710 is: 76,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789 : 34,710 = 34,710 : x
  2. Step 2: Convert to fraction form
    15,789/34,710 = 34,710/x
  3. Step 3: Cross multiply
    15,789x = 34,710 × 34,710
  4. Step 4: Simplify right side
    15,789x = 1,204,784,100
  5. Step 5: Solve for x
    x = 1,204,784,100/15,789
  6. Step 6: Final answer
    x = 76,305.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.