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Finding the Third Proportional to 312,267 and 493,977

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Solution

The third proportional to 312,267 and 493,977 is: 781,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,267 : 493,977 = 493,977 : x
  2. Step 2: Convert to fraction form
    312,267/493,977 = 493,977/x
  3. Step 3: Cross multiply
    312,267x = 493,977 × 493,977
  4. Step 4: Simplify right side
    312,267x = 244,013,276,529
  5. Step 5: Solve for x
    x = 244,013,276,529/312,267
  6. Step 6: Final answer
    x = 781,425.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.