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Finding the Third Proportional to 119,970 and 186,243

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Solution

The third proportional to 119,970 and 186,243 is: 289,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,970 : 186,243 = 186,243 : x
  2. Step 2: Convert to fraction form
    119,970/186,243 = 186,243/x
  3. Step 3: Cross multiply
    119,970x = 186,243 × 186,243
  4. Step 4: Simplify right side
    119,970x = 34,686,455,049
  5. Step 5: Solve for x
    x = 34,686,455,049/119,970
  6. Step 6: Final answer
    x = 289,126.07

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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.