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Finding the Third Proportional to 181,620 and 297,315

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Solution

The third proportional to 181,620 and 297,315 is: 486,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,620 : 297,315 = 297,315 : x
  2. Step 2: Convert to fraction form
    181,620/297,315 = 297,315/x
  3. Step 3: Cross multiply
    181,620x = 297,315 × 297,315
  4. Step 4: Simplify right side
    181,620x = 88,396,209,225
  5. Step 5: Solve for x
    x = 88,396,209,225/181,620
  6. Step 6: Final answer
    x = 486,709.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.