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Finding the Third Proportional to 406,183 and 628,624

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Solution

The third proportional to 406,183 and 628,624 is: 972,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,183 : 628,624 = 628,624 : x
  2. Step 2: Convert to fraction form
    406,183/628,624 = 628,624/x
  3. Step 3: Cross multiply
    406,183x = 628,624 × 628,624
  4. Step 4: Simplify right side
    406,183x = 395,168,133,376
  5. Step 5: Solve for x
    x = 395,168,133,376/406,183
  6. Step 6: Final answer
    x = 972,882.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.