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Finding the Third Proportional to 221,236,728 and 318,698,964

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Solution

The third proportional to 221,236,728 and 318,698,964 is: 459,096,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,236,728 : 318,698,964 = 318,698,964 : x
  2. Step 2: Convert to fraction form
    221,236,728/318,698,964 = 318,698,964/x
  3. Step 3: Cross multiply
    221,236,728x = 318,698,964 × 318,698,964
  4. Step 4: Simplify right side
    221,236,728x = 101,569,029,654,673,296
  5. Step 5: Solve for x
    x = 101,569,029,654,673,296/221,236,728
  6. Step 6: Final answer
    x = 459,096,600.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.