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Finding the Third Proportional to 119,972 and 277,742

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Solution

The third proportional to 119,972 and 277,742 is: 642,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,972 : 277,742 = 277,742 : x
  2. Step 2: Convert to fraction form
    119,972/277,742 = 277,742/x
  3. Step 3: Cross multiply
    119,972x = 277,742 × 277,742
  4. Step 4: Simplify right side
    119,972x = 77,140,618,564
  5. Step 5: Solve for x
    x = 77,140,618,564/119,972
  6. Step 6: Final answer
    x = 642,988.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.