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Finding the Third Proportional to 277,047 and 369,742

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Solution

The third proportional to 277,047 and 369,742 is: 493,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,047 : 369,742 = 369,742 : x
  2. Step 2: Convert to fraction form
    277,047/369,742 = 369,742/x
  3. Step 3: Cross multiply
    277,047x = 369,742 × 369,742
  4. Step 4: Simplify right side
    277,047x = 136,709,146,564
  5. Step 5: Solve for x
    x = 136,709,146,564/277,047
  6. Step 6: Final answer
    x = 493,451.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.