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Finding the Third Proportional to 223,021,512 and 478,327,680

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Solution

The third proportional to 223,021,512 and 478,327,680 is: 1,025,898,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,021,512 : 478,327,680 = 478,327,680 : x
  2. Step 2: Convert to fraction form
    223,021,512/478,327,680 = 478,327,680/x
  3. Step 3: Cross multiply
    223,021,512x = 478,327,680 × 478,327,680
  4. Step 4: Simplify right side
    223,021,512x = 228,797,369,454,182,400
  5. Step 5: Solve for x
    x = 228,797,369,454,182,400/223,021,512
  6. Step 6: Final answer
    x = 1,025,898,207.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.