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Finding the Third Proportional to 15,028 and 34,789

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Solution

The third proportional to 15,028 and 34,789 is: 80,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028 : 34,789 = 34,789 : x
  2. Step 2: Convert to fraction form
    15,028/34,789 = 34,789/x
  3. Step 3: Cross multiply
    15,028x = 34,789 × 34,789
  4. Step 4: Simplify right side
    15,028x = 1,210,274,521
  5. Step 5: Solve for x
    x = 1,210,274,521/15,028
  6. Step 6: Final answer
    x = 80,534.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.