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Finding the Third Proportional to 204,763,221 and 289,733,679

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Solution

The third proportional to 204,763,221 and 289,733,679 is: 409,964,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,221 : 289,733,679 = 289,733,679 : x
  2. Step 2: Convert to fraction form
    204,763,221/289,733,679 = 289,733,679/x
  3. Step 3: Cross multiply
    204,763,221x = 289,733,679 × 289,733,679
  4. Step 4: Simplify right side
    204,763,221x = 83,945,604,746,875,040
  5. Step 5: Solve for x
    x = 83,945,604,746,875,040/204,763,221
  6. Step 6: Final answer
    x = 409,964,271.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.