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Finding the Third Proportional to 207,906 and 493,315

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Solution

The third proportional to 207,906 and 493,315 is: 1,170,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 493,315 = 493,315 : x
  2. Step 2: Convert to fraction form
    207,906/493,315 = 493,315/x
  3. Step 3: Cross multiply
    207,906x = 493,315 × 493,315
  4. Step 4: Simplify right side
    207,906x = 243,359,689,225
  5. Step 5: Solve for x
    x = 243,359,689,225/207,906
  6. Step 6: Final answer
    x = 1,170,527.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.