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Finding the Third Proportional to 406,363,395 and 890,361,465

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Solution

The third proportional to 406,363,395 and 890,361,465 is: 1,950,824,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,363,395 : 890,361,465 = 890,361,465 : x
  2. Step 2: Convert to fraction form
    406,363,395/890,361,465 = 890,361,465/x
  3. Step 3: Cross multiply
    406,363,395x = 890,361,465 × 890,361,465
  4. Step 4: Simplify right side
    406,363,395x = 792,743,538,356,946,176
  5. Step 5: Solve for x
    x = 792,743,538,356,946,176/406,363,395
  6. Step 6: Final answer
    x = 1,950,824,183.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.