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Finding the Third Proportional to 418,616 and 668,315

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Solution

The third proportional to 418,616 and 668,315 is: 1,066,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,616 : 668,315 = 668,315 : x
  2. Step 2: Convert to fraction form
    418,616/668,315 = 668,315/x
  3. Step 3: Cross multiply
    418,616x = 668,315 × 668,315
  4. Step 4: Simplify right side
    418,616x = 446,644,939,225
  5. Step 5: Solve for x
    x = 446,644,939,225/418,616
  6. Step 6: Final answer
    x = 1,066,956.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.