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Finding the Third Proportional to 336,871 and 492,742

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Solution

The third proportional to 336,871 and 492,742 is: 720,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,871 : 492,742 = 492,742 : x
  2. Step 2: Convert to fraction form
    336,871/492,742 = 492,742/x
  3. Step 3: Cross multiply
    336,871x = 492,742 × 492,742
  4. Step 4: Simplify right side
    336,871x = 242,794,678,564
  5. Step 5: Solve for x
    x = 242,794,678,564/336,871
  6. Step 6: Final answer
    x = 720,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.