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Finding the Third Proportional to 119,640 and 185,781

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Solution

The third proportional to 119,640 and 185,781 is: 288,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,640 : 185,781 = 185,781 : x
  2. Step 2: Convert to fraction form
    119,640/185,781 = 185,781/x
  3. Step 3: Cross multiply
    119,640x = 185,781 × 185,781
  4. Step 4: Simplify right side
    119,640x = 34,514,579,961
  5. Step 5: Solve for x
    x = 34,514,579,961/119,640
  6. Step 6: Final answer
    x = 288,486.96

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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.