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Finding the Third Proportional to 119,840 and 186,384

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Solution

The third proportional to 119,840 and 186,384 is: 289,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,840 : 186,384 = 186,384 : x
  2. Step 2: Convert to fraction form
    119,840/186,384 = 186,384/x
  3. Step 3: Cross multiply
    119,840x = 186,384 × 186,384
  4. Step 4: Simplify right side
    119,840x = 34,738,995,456
  5. Step 5: Solve for x
    x = 34,738,995,456/119,840
  6. Step 6: Final answer
    x = 289,878.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.