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Finding the Third Proportional to 120,384.75 and 186,663.75

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Solution

The third proportional to 120,384.75 and 186,663.75 is: 289,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384.75 : 186,663.75 = 186,663.75 : x
  2. Step 2: Convert to fraction form
    120,384.75/186,663.75 = 186,663.75/x
  3. Step 3: Cross multiply
    120,384.75x = 186,663.75 × 186,663.75
  4. Step 4: Simplify right side
    120,384.75x = 34,843,355,564.06
  5. Step 5: Solve for x
    x = 34,843,355,564.06/120,384.75
  6. Step 6: Final answer
    x = 289,433.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.