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Finding the Third Proportional to 409,338,768 and 890,398,015

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Solution

The third proportional to 409,338,768 and 890,398,015 is: 1,936,803,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,338,768 : 890,398,015 = 890,398,015 : x
  2. Step 2: Convert to fraction form
    409,338,768/890,398,015 = 890,398,015/x
  3. Step 3: Cross multiply
    409,338,768x = 890,398,015 × 890,398,015
  4. Step 4: Simplify right side
    409,338,768x = 792,808,625,115,940,224
  5. Step 5: Solve for x
    x = 792,808,625,115,940,224/409,338,768
  6. Step 6: Final answer
    x = 1,936,803,174.03

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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.