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Finding the Third Proportional to 109,471.78 and 164,990.67

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Solution

The third proportional to 109,471.78 and 164,990.67 is: 248,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.78 : 164,990.67 = 164,990.67 : x
  2. Step 2: Convert to fraction form
    109,471.78/164,990.67 = 164,990.67/x
  3. Step 3: Cross multiply
    109,471.78x = 164,990.67 × 164,990.67
  4. Step 4: Simplify right side
    109,471.78x = 27,221,921,805.76
  5. Step 5: Solve for x
    x = 27,221,921,805.76/109,471.78
  6. Step 6: Final answer
    x = 248,666.11

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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.