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Finding the Third Proportional to 459,087 and 999,469

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Solution

The third proportional to 459,087 and 999,469 is: 2,175,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,087 : 999,469 = 999,469 : x
  2. Step 2: Convert to fraction form
    459,087/999,469 = 999,469/x
  3. Step 3: Cross multiply
    459,087x = 999,469 × 999,469
  4. Step 4: Simplify right side
    459,087x = 998,938,281,961
  5. Step 5: Solve for x
    x = 998,938,281,961/459,087
  6. Step 6: Final answer
    x = 2,175,923.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.